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<h3>Index</h3>
<strong class="pkg">MatricesForHomalg</strong> <a href="chap0_mj.html#X8537FEB07AF2BEC8">.-1</a> <br />
<code class="func">\*</code>, copy a matrix over a different ring <a href="chap5_mj.html#X81225377833C4644">5.2-11</a> <br />
copy a matrix over a different ring (right) <a href="chap5_mj.html#X81225377833C4644">5.2-11</a> <br />
for composable matrices <a href="chap5_mj.html#X7F5961D78754157B">5.5-22</a> <br />
for ring elements and matrices <a href="chap5_mj.html#X7D1A074278B415BE">5.5-19</a> <br />
<code class="func">\+</code>, for matrices <a href="chap5_mj.html#X87C773DA85B21ADF">5.5-20</a> <br />
<code class="func">\-</code>, for matrices <a href="chap5_mj.html#X784B57617B24208C">5.5-21</a> <br />
<code class="func">\/</code>, constructor for residue class rings <a href="chap3_mj.html#X85D9DDE384304BAB">3.2-2</a> <br />
<code class="func">\=</code>, for matrices <a href="chap5_mj.html#X7E2074A77AFF518A">5.5-23</a> <br />
<code class="func">AddMat</code>, homalgTable entry <a href="chapB_mj.html#X7B0B12F080A90039">B.1-17</a> <br />
ResidueClassRing <a href="chapD_mj.html#X83E1AEC781AE1274">D.2-15</a> <br />
<code class="func">AffineDegree</code> <a href="chap5_mj.html#X87C428A079000336">5.4-21</a> <br />
<code class="func">AffineDimension</code> <a href="chap5_mj.html#X7BC36CC67CB09858">5.4-20</a> <br />
<code class="func">AreEqualMatrices</code>, homalgTable entry <a href="chapB_mj.html#X7871FE5478BFC167">B.2-1</a> <br />
ResidueClassRing <a href="chapD_mj.html#X848EB509816E8A7D">D.3-1</a> <br />
<code class="func">AreUnitsCentral</code> <a href="chap3_mj.html#X781617F678CC0BA8">3.3-54</a> <br />
<code class="func">AssociatedGradedRing</code> <a href="chap3_mj.html#X826BE1E87EE023B2">3.4-28</a> <br />
<code class="func">BasisAlgorithmRespectsPrincipalIdeals</code> <a href="chap3_mj.html#X803259617B5F89AE">3.3-53</a> <br />
<code class="func">BasisOfColumnModule</code>, for matrices <a href="chap5_mj.html#X868CDA327D6C8DDC">5.5-29</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7F2B3332793FACA3">D.1-2</a> <br />
<code class="func">BasisOfColumns</code>, for matrices <a href="chap5_mj.html#X83A5B51980FFDE53">5.5-45</a> <br />
for pairs of matrices <a href="chap5_mj.html#X83A5B51980FFDE53">5.5-45</a> <br />
<code class="func">BasisOfColumnsCoeff</code>, for matrices <a href="chap5_mj.html#X7BBC885F7C24DEC2">5.5-41</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7D2E9D797877FFBD">D.1-8</a> <br />
<code class="func">BasisOfRowModule</code>, for matrices <a href="chap5_mj.html#X80ADBE0D82CC6E85">5.5-28</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7AB980C5791BA204">D.1-1</a> <br />
<code class="func">BasisOfRows</code>, for matrices <a href="chap5_mj.html#X81ABDA3E7D94C661">5.5-44</a> <br />
for pairs of matrices <a href="chap5_mj.html#X81ABDA3E7D94C661">5.5-44</a> <br />
<code class="func">BasisOfRowsCoeff</code>, for matrices <a href="chap5_mj.html#X7D9DEC6081AF0003">5.5-40</a> <br />
ResidueClassRing <a href="chapD_mj.html#X78BC2E8E7A78CC82">D.1-7</a> <br />
<code class="func">CanBeUsedToDecideZero</code> <a href="chap6_mj.html#X835DF250790EF863">6.3-1</a> <br />
<code class="func">CertainColumns</code>, for matrices <a href="chap5_mj.html#X8256AF2A840B19C4">5.5-9</a> <br />
homalgTable entry <a href="chapB_mj.html#X78EADFC67D17CF04">B.1-8</a> <br />
ResidueClassRing <a href="chapD_mj.html#X84CBE51981BA2C77">D.2-8</a> <br />
<code class="func">CertainRows</code>, for matrices <a href="chap5_mj.html#X7CF5CE79796001F6">5.5-8</a> <br />
homalgTable entry <a href="chapB_mj.html#X7B6FC3267CD9EE9D">B.1-7</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7C5B29A37B13A53D">D.2-7</a> <br />
<code class="func">CoefficientsOfNumeratorOfHilbertPoincareSeries</code> <a href="chap5_mj.html#X7938E13A7EF4ADB1">5.4-15</a> <br />
<code class="func">CoefficientsOfUnreducedNumeratorOfHilbertPoincareSeries</code> <a href="chap5_mj.html#X7809E0507E882674">5.4-14</a> <br />
<code class="func">CoefficientsRing</code> <a href="chap3_mj.html#X8235D10781BE8003">3.4-20</a> <br />
<code class="func">CoefficientsWithGivenMonomials</code>, for two homalg matrices <a href="chap5_mj.html#X7EEFD7887E96714F">5.5-64</a> <br />
homalgTable entry <a href="chapB_mj.html#X8450E904787CBD35">B.1-24</a> <br />
<code class="func">CoercedMatrix</code>, copy a matrix over a different ring <a href="chap5_mj.html#X7C4E49D287011DCD">5.2-12</a> <br />
copy a matrix over a different ring (convenience) <a href="chap5_mj.html#X7C4E49D287011DCD">5.2-12</a> <br />
<code class="func">ColumnRankOfMatrix</code> <a href="chap5_mj.html#X7C61862E81CABD51">5.4-11</a> <br />
<code class="func">Compose</code>, homalgTable entry <a href="chapB_mj.html#X7D491D957E63C3A4">B.1-19</a> <br />
ResidueClassRing <a href="chapD_mj.html#X875447A686949D59">D.2-17</a> <br />
<code class="func">ConstantTermOfHilbertPolynomialn</code> <a href="chap5_mj.html#X791B772A7E368A88">5.4-23</a> <br />
<code class="func">ConstructorForHomalgMatrices</code> <a href="chap3_mj.html#X80504BE983BD1A70">3.4-5</a> <br />
<code class="func">ContainsAField</code> <a href="chap3_mj.html#X84F3040687E68338">3.3-3</a> <br />
<code class="func">ConvertColumnToMatrix</code>, for matrices <a href="chap5_mj.html#X853EA6C87EDDF6EF">5.5-13</a> <br />
<code class="func">ConvertMatrixToColumn</code>, for matrices <a href="chap5_mj.html#X84C7C1D07DB6FBAA">5.5-15</a> <br />
<code class="func">ConvertMatrixToRow</code>, for matrices <a href="chap5_mj.html#X7ED5C86379A647F2">5.5-14</a> <br />
<code class="func">ConvertRowToMatrix</code>, for matrices <a href="chap5_mj.html#X7E61390E79B663E8">5.5-12</a> <br />
<code class="func">CoordinateRingOfGraph</code>, for ring maps <a href="chap4_mj.html#X785155EE844A98BD">4.4-4</a> <br />
<code class="func">DecideZero</code>, for matrices and relations <a href="chap5_mj.html#X85C980288304B4AC">5.5-46</a> <br />
<code class="func">DecideZeroColumns</code>, for pairs of matrices <a href="chap5_mj.html#X86C97DBB787BAD6D">5.5-31</a> <br />
ResidueClassRing <a href="chapD_mj.html#X841426A87A1A20E4">D.1-4</a> <br />
<code class="func">DecideZeroColumnsEffectively</code>, for pairs of matrices <a href="chap5_mj.html#X7A06BF7779830815">5.5-43</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7B68B9F27BC02520">D.1-10</a> <br />
<code class="func">DecideZeroRows</code>, for pairs of matrices <a href="chap5_mj.html#X7F851EC7861170D1">5.5-30</a> <br />
ResidueClassRing <a href="chapD_mj.html#X83E072E1790A7D38">D.1-3</a> <br />
<code class="func">DecideZeroRowsEffectively</code>, for pairs of matrices <a href="chap5_mj.html#X8513963C84A9F8CB">5.5-42</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7F10DC697D2B828D">D.1-9</a> <br />
<code class="func">DegreeOfMorphism</code>, for ring maps <a href="chap4_mj.html#X7C4F3F0F82C6EB88">4.4-3</a> <br />
<code class="func">Determinant</code>, homalgTable entry <a href="chapB_mj.html#X80A573257D7F2E1A">B.1-23</a> <br />
ResidueClassRing <a href="chapD_mj.html#X80831B287AB565BA">D.2-21</a> <br />
<code class="func">DeterminantMat</code> <a href="chap5_mj.html#X83045F6F82C180E1">5.4-3</a> <br />
<code class="func">DiagMat</code>, for a homalg ring and a list of homalg matrices <a href="chap5_mj.html#X7C7830BE847D84B4">5.5-16</a> <br />
homalgTable entry <a href="chapB_mj.html#X86C5B86981FA1F9A">B.1-13</a> <br />
ResidueClassRing <a href="chapD_mj.html#X802BEBF5790D4167">D.2-11</a> <br />
<code class="func">DualKroneckerMat</code>, for matrices <a href="chap5_mj.html#X7ECF744B7DE82BED">5.5-18</a> <br />
homalgTable entry <a href="chapB_mj.html#X87E0747D7FEEAC76">B.1-15</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7E996A50863FE76C">D.2-13</a> <br />
<code class="func">ElementaryRank</code> <a href="chap3_mj.html#X79BCB23D873268CB">3.4-26</a> <br />
<code class="func">Eliminate</code> <a href="chap5_mj.html#X781B1C0C80529B09">5.5-27</a> <br />
<code class="func">Eval</code>, for matrices created with AddMat <a href="chapC_mj.html#X85971C16868BD83C">C.4-18</a> <br />
for matrices created with CertainColumns <a href="chapC_mj.html#X835F6F2E7D590F3D">C.4-11</a> <br />
for matrices created with CertainRows <a href="chapC_mj.html#X852DCBD57A742FA5">C.4-10</a> <br />
for matrices created with CoefficientsWithGivenMonomials <a href="chapC_mj.html#X848FE4F07BAF89DB">C.4-21</a> <br />
for matrices created with CoercedMatrix <a href="chapC_mj.html#X87BF7FD083D0EE88">C.4-9</a> <br />
for matrices created with Compose <a href="chapC_mj.html#X7F7682FC86F602C2">C.4-20</a> <br />
for matrices created with DiagMat <a href="chapC_mj.html#X7FD68F43831046B6">C.4-14</a> <br />
for matrices created with DualKroneckerMat <a href="chapC_mj.html#X78ADE5C879583E7B">C.4-16</a> <br />
for matrices created with HomalgIdentityMatrix <a href="chapC_mj.html#X78CCA57B84E51834">C.4-4</a> <br />
for matrices created with HomalgInitialIdentityMatrix <a href="chapC_mj.html#X7B619CA885024F0F">C.4-2</a> <br />
for matrices created with HomalgInitialMatrix <a href="chapC_mj.html#X7EEAADA6807A5A45">C.4-1</a> <br />
for matrices created with HomalgZeroMatrix <a href="chapC_mj.html#X7EADAA3180A84318">C.4-3</a> <br />
for matrices created with Involution <a href="chapC_mj.html#X7928991E8768FA72">C.4-7</a> <br />
for matrices created with KroneckerMat <a href="chapC_mj.html#X84F45FB4854A079C">C.4-15</a> <br />
for matrices created with LeftInverseLazy <a href="chapC_mj.html#X8362669D87FD667B">C.4-5</a> <br />
for matrices created with MulMat <a href="chapC_mj.html#X7B68797C7EA79B10">C.4-17</a> <br />
for matrices created with RightInverseLazy <a href="chapC_mj.html#X84D72DF482F70AD5">C.4-6</a> <br />
for matrices created with SubMat <a href="chapC_mj.html#X86F848318791595C">C.4-19</a> <br />
for matrices created with TransposedMatrix <a href="chapC_mj.html#X78D5359480EFC5AC">C.4-8</a> <br />
for matrices created with UnionOfColumns <a href="chapC_mj.html#X7EDE6095820F8128">C.4-13</a> <br />
for matrices created with UnionOfRows <a href="chapC_mj.html#X7F35A61C8522A1B0">C.4-12</a> <br />
<code class="func">GeneralLinearRank</code> <a href="chap3_mj.html#X792D56C278E346B1">3.4-25</a> <br />
<code class="func">GenerateSameColumnModule</code>, for pairs of matrices <a href="chap5_mj.html#X867A947682754A9A">5.5-60</a> <br />
<code class="func">GenerateSameRowModule</code>, for pairs of matrices <a href="chap5_mj.html#X82B2C4987D6D5BD3">5.5-59</a> <br />
<code class="func">GetColumnIndependentUnitPositions</code>, for matrices <a href="chap5_mj.html#X85887BBB86F0A08B">5.5-24</a> <br />
homalgTable entry <a href="chapB_mj.html#X7BCBACDB79C96FBF">B.2-6</a> <br />
<code class="func">GetRowIndependentUnitPositions</code>, for matrices <a href="chap5_mj.html#X824AB44184DD63B0">5.5-25</a> <br />
homalgTable entry <a href="chapB_mj.html#X855C57B6822E7A98">B.2-7</a> <br />
<code class="func">GetUnitPosition</code>, for matrices <a href="chap5_mj.html#X7A1969A17979FC49">5.5-26</a> <br />
homalgTable entry <a href="chapB_mj.html#X876495AA79063CDE">B.2-8</a> <br />
<code class="func">GlobalDimension</code> <a href="chap3_mj.html#X7D511B3E7A50AB2A">3.4-24</a> <br />
<code class="func">HasInvariantBasisProperty</code> <a href="chap3_mj.html#X81269E1881D45163">3.3-21</a> <br />
<code class="func">HilbertPoincareSeries</code> <a href="chap5_mj.html#X7B93B7D082A50E61">5.4-18</a> <br />
<code class="func">HilbertPolynomial</code> <a href="chap5_mj.html#X84299BAB807A1E13">5.4-19</a> <br />
<code class="func">HomalgColumnVector</code>, constructor for matrices with a single column <a href="chap5_mj.html#X871AF271843FF2B5">5.2-9</a> <br />
<code class="func">HomalgDiagonalMatrix</code>, constructor for diagonal matrices <a href="chap5_mj.html#X872D39C678D0C4AE">5.2-10</a> <br />
<code class="func">HomalgIdentityMatrix</code>, constructor for identity matrices <a href="chap5_mj.html#X83266B9D7BE740D8">5.2-4</a> <br />
<code class="func">HomalgInitialIdentityMatrix</code>, constructor for initial quadratic matrices with ones on the diagonal <a href="chap5_mj.html#X7CB77009868D369A">5.2-2</a> <br />
<code class="func">HomalgInitialMatrix</code>, constructor for initial matrices filled with zeros <a href="chap5_mj.html#X86D290B084AC6638">5.2-1</a> <br />
<code class="func">HomalgMatrix</code>, constructor for matrices using a list <a href="chap5_mj.html#X864ACCB08094F0B7">5.2-6</a> <br />
constructor for matrices using a listlist <a href="chap5_mj.html#X864ACCB08094F0B7">5.2-6</a> <br />
constructor for matrices using a listlist with given dimensions <a href="chap5_mj.html#X864ACCB08094F0B7">5.2-6</a> <br />
constructor for matrices using a string of a list <a href="chap5_mj.html#X864ACCB08094F0B7">5.2-6</a> <br />
constructor for matrices using a string of a listlist <a href="chap5_mj.html#X864ACCB08094F0B7">5.2-6</a> <br />
<code class="func">HomalgMatrixListList</code>, constructor for matrices using a listlist with given dimensions <a href="chap5_mj.html#X8246E1D17F96DAE7">5.2-7</a> <br />
<code class="func">homalgMode</code> <a href="chapE_mj.html#X7D07F29F7EB515EE">E.2-1</a> <br />
<code class="func">HomalgRing</code>, for matrices <a href="chap5_mj.html#X81BBF79C79C3B6DF">5.5-1</a> <br />
<code class="func">HomalgRingOfIntegers</code>, constructor for the integers <a href="chap3_mj.html#X78AC74CB802A8A49">3.2-1</a> <br />
constructor for the residue class rings of the integers <a href="chap3_mj.html#X78AC74CB802A8A49">3.2-1</a> <br />
<code class="func">HomalgRowVector</code>, constructor for matrices with a single row <a href="chap5_mj.html#X7B127B5584CD012D">5.2-8</a> <br />
<code class="func">homalgTable</code> <a href="chap3_mj.html#X7AFD26D480AA9323">3.4-2</a> <br />
<code class="func">HomalgVoidMatrix</code>, constructor for void matrices <a href="chap5_mj.html#X7D2E3472879E28AB">5.2-5</a> <br />
<code class="func">HomalgZeroMatrix</code>, constructor for zero matrices <a href="chap5_mj.html#X8309EB7B86953A23">5.2-3</a> <br />
<code class="func">IdentityMatrix</code>, homalgTable entry <a href="chapB_mj.html#X87BFF3567DEEBEF4">B.1-4</a> <br />
ResidueClassRing <a href="chapD_mj.html#X811B306C81435D87">D.2-4</a> <br />
<code class="func">IndeterminateAntiCommutingVariablesOfExteriorRing</code> <a href="chap3_mj.html#X7C15E6647945C0E3">3.4-17</a> <br />
<code class="func">IndeterminateCoordinatesOfRingOfDerivations</code> <a href="chap3_mj.html#X7F4A050A87C042E5">3.4-13</a> <br />
<code class="func">IndeterminateDerivationsOfRingOfDerivations</code> <a href="chap3_mj.html#X78776EBA7DC179B4">3.4-15</a> <br />
<code class="func">IndeterminatesOfExteriorRing</code> <a href="chap3_mj.html#X7BBEF7097B459D33">3.4-19</a> <br />
<code class="func">IndeterminatesOfPolynomialRing</code> <a href="chap3_mj.html#X80D585E1793D4552">3.4-11</a> <br />
<code class="func">InitialIdentityMatrix</code>, homalgTable entry for initial identity matrices <a href="chapB_mj.html#X84179BE87E7DCE76">B.1-2</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7D0F99857E280142">D.2-2</a> <br />
<code class="func">InitialMatrix</code>, homalgTable entry for initial matrices <a href="chapB_mj.html#X7DBA33F083A317B5">B.1-1</a> <br />
ResidueClassRing <a href="chapD_mj.html#X81CD6BAB7CA73AFC">D.2-1</a> <br />
<code class="func">Inverse</code>, for homalg ring elements <a href="chap3_mj.html#X8066502785A109B8">3.4-1</a> <br />
<code class="func">Involution</code>, for matrices <a href="chap5_mj.html#X800FA81F7C42BFEA">5.5-6</a> <br />
homalgTable entry <a href="chapB_mj.html#X85884C3178473521">B.1-5</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7B322C637FC26E2D">D.2-5</a> <br />
<code class="func">IsArtinian</code>, for rings <a href="chap3_mj.html#X7AF81F6383F5CFCA">3.3-37</a> <br />
<code class="func">IsAutomorphism</code>, for ring maps <a href="chap4_mj.html#X790E34C5802D0F54">4.3-6</a> <br />
<code class="func">IsBasisOfColumnsMatrix</code> <a href="chap5_mj.html#X7D46613983DC5302">5.3-23</a> <br />
<code class="func">IsBasisOfRowsMatrix</code> <a href="chap5_mj.html#X7F520F89821A8602">5.3-22</a> <br />
<code class="func">IsBezoutRing</code> <a href="chap3_mj.html#X7F9F59B5857F19A3">3.3-9</a> <br />
<code class="func">IsCohenMacaulay</code> <a href="chap3_mj.html#X8373421F7E085763">3.3-34</a> <br />
<code class="func">IsDedekindDomain</code> <a href="chap3_mj.html#X86C625EF7E417AA6">3.3-13</a> <br />
<code class="func">IsDiagonalMatrix</code> <a href="chap5_mj.html#X7EEC8E768178696E">5.3-13</a> <br />
homalgTable entry <a href="chapB_mj.html#X7B6420E88418316B">B.2-3</a> <br />
ResidueClassRing <a href="chapD_mj.html#X87B8E7137DC97A71">D.3-3</a> <br />
<code class="func">IsDiscreteValuationRing</code> <a href="chap3_mj.html#X855E560A7F40B2BF">3.3-14</a> <br />
<code class="func">IsDivisionRingForHomalg</code> <a href="chap3_mj.html#X805112347CF99F02">3.3-6</a> <br />
<code class="func">IsEmptyMatrix</code> <a href="chap5_mj.html#X7BFC9266823F2C15">5.3-12</a> <br />
<code class="func">IsEpimorphism</code>, for ring maps <a href="chap4_mj.html#X849F620C824F4078">4.3-4</a> <br />
<code class="func">IsFieldForHomalg</code> <a href="chap3_mj.html#X86221E0E8416F1CF">3.3-5</a> <br />
<code class="func">IsFiniteFreePresentationRing</code> <a href="chap3_mj.html#X7FB92D467B9B6707">3.3-47</a> <br />
<code class="func">IsFreePolynomialRing</code> <a href="chap3_mj.html#X80E0C8B28039B8F0">3.3-15</a> <br />
<code class="func">IsGlobalDimensionFinite</code> <a href="chap3_mj.html#X86558C9F8474DA39">3.3-18</a> <br />
<code class="func">IsGorenstein</code> <a href="chap3_mj.html#X83CBA38E81DC4A72">3.3-35</a> <br />
<code class="func">IsHereditary</code> <a href="chap3_mj.html#X7FEB8A337CC92955">3.3-25</a> <br />
<code class="func">IsHermite</code> <a href="chap3_mj.html#X783ACC147A7F82AA">3.3-28</a> <br />
<code class="func">IsHomalgInternalMatrixRep</code> <a href="chap5_mj.html#X7FE94FC47F460E35">5.1-2</a> <br />
<code class="func">IsHomalgInternalRingRep</code> <a href="chap3_mj.html#X8097E89E7B6EF731">3.1-4</a> <br />
<code class="func">IsHomalgMatrix</code> <a href="chap5_mj.html#X7B68E1057F5F011F">5.1-1</a> <br />
<code class="func">IsHomalgRing</code> <a href="chap3_mj.html#X85E217C67DD633AB">3.1-1</a> <br />
<code class="func">IsHomalgRingElement</code> <a href="chap3_mj.html#X80A410ED8500DA7E">3.1-3</a> <br />
<code class="func">IsHomalgRingMap</code> <a href="chap4_mj.html#X7E084D947E3AEFE6">4.1-1</a> <br />
<code class="func">IsHomalgRingMapRep</code> <a href="chap4_mj.html#X7DFD1CBA83E63737">4.1-3</a> <br />
<code class="func">IsHomalgRingRelations</code> <a href="chap6_mj.html#X7D50E3AD82087AE6">6.1-1</a> <br />
<code class="func">IsHomalgRingRelationsAsGeneratorsOfLeftIdeal</code> <a href="chap6_mj.html#X7DECADD683403C65">6.1-2</a> <br />
<code class="func">IsHomalgRingRelationsAsGeneratorsOfRightIdeal</code> <a href="chap6_mj.html#X78746A217FEEB058">6.1-3</a> <br />
<code class="func">IsHomalgRingSelfMap</code> <a href="chap4_mj.html#X87DB79AF83F17FB6">4.1-2</a> <br />
<code class="func">IsIdentityMatrix</code>, homalgTable entry <a href="chapB_mj.html#X80C1856D82172268">B.2-2</a> <br />
<code class="func">IsIdentityMorphism</code>, for ring maps <a href="chap4_mj.html#X832893897FD3744D">4.3-2</a> <br />
<code class="func">IsInitialIdentityMatrix</code> <a href="chap5_mj.html#X7EE624707ACEC26E">5.3-27</a> <br />
<code class="func">IsInitialMatrix</code> <a href="chap5_mj.html#X7E6E51517822CB3F">5.3-26</a> <br />
<code class="func">IsInjectivePresentation</code> <a href="chap6_mj.html#X7B9398827AEEA2E6">6.3-2</a> <br />
<code class="func">IsIntegersForHomalg</code> <a href="chap3_mj.html#X799A9A9F7A26C6B2">3.3-7</a> <br />
<code class="func">IsIntegralDomain</code> <a href="chap3_mj.html#X7EE2F1C187131E19">3.3-24</a> <br />
<code class="func">IsIntegrallyClosedDomain</code> <a href="chap3_mj.html#X79D8752F78215FC1">3.3-10</a> <br />
<code class="func">IsInvertibleMatrix</code> <a href="chap5_mj.html#X856E1D217A47EE8C">5.3-9</a> <br />
<code class="func">IsIsomorphism</code>, for ring maps <a href="chap4_mj.html#X82B9422D7B01BA4A">4.3-5</a> <br />
<code class="func">IsKaplanskyHermite</code> <a href="chap3_mj.html#X86EF914787EB5572">3.3-12</a> <br />
<code class="func">IsKoszul</code> <a href="chap3_mj.html#X7E7AEFBE7801F196">3.3-36</a> <br />
<code class="func">IsLeftArtinian</code> <a href="chap3_mj.html#X7E000F5780A17602">3.3-38</a> <br />
<code class="func">IsLeftFiniteFreePresentationRing</code> <a href="chap3_mj.html#X7B0EE3BF8402793B">3.3-48</a> <br />
<code class="func">IsLeftGlobalDimensionFinite</code> <a href="chap3_mj.html#X7AE1C7297A66F116">3.3-19</a> <br />
<code class="func">IsLeftHereditary</code> <a href="chap3_mj.html#X7D4AC0177C6D85A8">3.3-26</a> <br />
<code class="func">IsLeftHermite</code> <a href="chap3_mj.html#X7A33BCFE7B6C6817">3.3-29</a> <br />
<code class="func">IsLeftInvertibleMatrix</code> <a href="chap5_mj.html#X7A4FA27C80BC42D1">5.3-10</a> <br />
<code class="func">IsLeftNoetherian</code> <a href="chap3_mj.html#X7803DB3A7E6689B6">3.3-32</a> <br />
<code class="func">IsLeftOreDomain</code> <a href="chap3_mj.html#X8528CA397BC76826">3.3-41</a> <br />
<code class="func">IsLeftPrincipalIdealRing</code> <a href="chap3_mj.html#X7BF4EFB67DCEBF6D">3.3-44</a> <br />
<code class="func">IsLeftRegular</code> <a href="chap5_mj.html#X7EF95CAD78BDE12F">5.3-7</a> <br />
for homalg ring elements <a href="chap3_mj.html#X811A01D5803ADCA3">3.3-58</a> <br />
<code class="func">IsLocal</code> <a href="chap3_mj.html#X8758DFD57E83925D">3.3-22</a> <br />
<code class="func">IsLocalizedWeylRing</code> <a href="chap3_mj.html#X7EFB456286B4F9DB">3.3-17</a> <br />
<code class="func">IsLowerStairCaseMatrix</code> <a href="chap5_mj.html#X7B3A5DE1860373F0">5.3-20</a> <br />
<code class="func">IsLowerTriangularMatrix</code> <a href="chap5_mj.html#X853A5B988306DBFE">5.3-16</a> <br />
<code class="func">IsMinusOne</code> <a href="chap3_mj.html#X85B6710082984863">3.3-55</a> <br />
<code class="func">IsMonic</code>, for homalg ring elements <a href="chap3_mj.html#X7A0A3A927BE3F352">3.3-56</a> <br />
<code class="func">IsMonicUptoUnit</code>, for homalg ring elements <a href="chap3_mj.html#X785EF83B8054D2FF">3.3-57</a> <br />
<code class="func">IsMonomorphism</code>, for ring maps <a href="chap4_mj.html#X87F79EA381E3E34F">4.3-3</a> <br />
<code class="func">IsMorphism</code>, for ring maps <a href="chap4_mj.html#X8555A4DF84C9165B">4.3-1</a> <br />
<code class="func">IsNoetherian</code> <a href="chap3_mj.html#X7AA2911E802BE73D">3.3-31</a> <br />
<code class="func">IsNonZeroRing</code>, for rings <a href="chap3_mj.html#X7F80A53387A0C23D">3.3-2</a> <br />
<code class="func">IsOne</code> <a href="chap5_mj.html#X814D78347858EC13">5.3-2</a> <br />
ResidueClassRing <a href="chapD_mj.html#X80122FB3846A6BA5">D.3-2</a> <br />
<code class="func">IsOreDomain</code> <a href="chap3_mj.html#X8290570679F86CE8">3.3-40</a> <br />
<code class="func">IsPermutationMatrix</code> <a href="chap5_mj.html#X8612CB4A82D6D79E">5.3-4</a> <br />
<code class="func">IsPreHomalgRing</code> <a href="chap3_mj.html#X81DC249883163C01">3.1-2</a> <br />
<code class="func">IsPrincipalIdealRing</code> <a href="chap3_mj.html#X85F1485F840E2354">3.3-43</a> <br />
<code class="func">IsRationalsForHomalg</code> <a href="chap3_mj.html#X7C337D0F8413FE38">3.3-4</a> <br />
<code class="func">IsReducedBasisOfColumnsMatrix</code> <a href="chap5_mj.html#X7E6BB540865C0344">5.3-25</a> <br />
<code class="func">IsReducedBasisOfRowsMatrix</code> <a href="chap5_mj.html#X86445AD281024339">5.3-24</a> <br />
<code class="func">IsRegular</code> <a href="chap3_mj.html#X7CF02C4785F0EAB5">3.3-46</a> <br />
for homalg ring elements <a href="chap3_mj.html#X80A3294C834D8F21">3.3-60</a> <br />
<code class="func">IsResidueClassRingOfTheIntegers</code> <a href="chap3_mj.html#X8548FE4E8283ACC6">3.3-8</a> <br />
<code class="func">IsRightArtinian</code> <a href="chap3_mj.html#X7C34A319827FFDDB">3.3-39</a> <br />
<code class="func">IsRightFiniteFreePresentationRing</code> <a href="chap3_mj.html#X839A82AC7D0D7BA1">3.3-49</a> <br />
<code class="func">IsRightGlobalDimensionFinite</code> <a href="chap3_mj.html#X799A94467B8EC416">3.3-20</a> <br />
<code class="func">IsRightHereditary</code> <a href="chap3_mj.html#X7DE025D781FEBD04">3.3-27</a> <br />
<code class="func">IsRightHermite</code> <a href="chap3_mj.html#X830989817DC97403">3.3-30</a> <br />
<code class="func">IsRightInvertibleMatrix</code> <a href="chap5_mj.html#X7E43FDE57E8449B6">5.3-11</a> <br />
<code class="func">IsRightNoetherian</code> <a href="chap3_mj.html#X78A93EFA7B677CED">3.3-33</a> <br />
<code class="func">IsRightOreDomain</code> <a href="chap3_mj.html#X7FC7E8317BF9B9CE">3.3-42</a> <br />
<code class="func">IsRightPrincipalIdealRing</code> <a href="chap3_mj.html#X83858198873F7760">3.3-45</a> <br />
<code class="func">IsRightRegular</code> <a href="chap5_mj.html#X87C369D27D6AAF68">5.3-8</a> <br />
for homalg ring elements <a href="chap3_mj.html#X7E99731F83A41777">3.3-59</a> <br />
<code class="func">IsRingRelationsRep</code> <a href="chap6_mj.html#X86CA83A081B8C8EA">6.1-4</a> <br />
<code class="func">IsScalarMatrix</code> <a href="chap5_mj.html#X7848E6A0783B7428">5.3-14</a> <br />
<code class="func">IsSemiLocalRing</code> <a href="chap3_mj.html#X7AAF0A3178E23B09">3.3-23</a> <br />
<code class="func">IsSemiSimpleRing</code> <a href="chap3_mj.html#X847DEBCF872F5175">3.3-51</a> <br />
<code class="func">IsSimpleRing</code> <a href="chap3_mj.html#X8491CBBE862D4FFB">3.3-50</a> <br />
<code class="func">IsSpecialSubidentityMatrix</code> <a href="chap5_mj.html#X7EEE3E9780EBA607">5.3-5</a> <br />
<code class="func">IsStrictLowerTriangularMatrix</code> <a href="chap5_mj.html#X7B0C78AF8056D650">5.3-18</a> <br />
<code class="func">IsStrictUpperTriangularMatrix</code> <a href="chap5_mj.html#X7976C42B7FA905EC">5.3-17</a> <br />
<code class="func">IsSubidentityMatrix</code> <a href="chap5_mj.html#X8672364D79EBCC5D">5.3-6</a> <br />
<code class="func">IsSuperCommutative</code> <a href="chap3_mj.html#X842C9ABA807DB431">3.3-52</a> <br />
<code class="func">IsTriangularMatrix</code> <a href="chap5_mj.html#X7BAAE75A8660D7A5">5.3-21</a> <br />
<code class="func">IsUniqueFactorizationDomain</code> <a href="chap3_mj.html#X864BF29E7B5D3305">3.3-11</a> <br />
<code class="func">IsUnitFree</code> <a href="chap5_mj.html#X7813653578F174AB">5.3-3</a> <br />
<code class="func">IsUpperStairCaseMatrix</code> <a href="chap5_mj.html#X81A2C3F67C99A3C2">5.3-19</a> <br />
<code class="func">IsUpperTriangularMatrix</code> <a href="chap5_mj.html#X8740E71C799C0BCC">5.3-15</a> <br />
<code class="func">IsVoidMatrix</code> <a href="chap5_mj.html#X802794217F56DE51">5.3-28</a> <br />
<code class="func">IsWeylRing</code> <a href="chap3_mj.html#X850A0EAB7E017D5E">3.3-16</a> <br />
<code class="func">IsZero</code>, for matrices <a href="chap5_mj.html#X858B5AF57D5BC90A">5.3-1</a> <br />
for rings <a href="chap3_mj.html#X7C48437187E668F3">3.3-1</a> <br />
<code class="func">IsZeroMatrix</code>, homalgTable entry <a href="chapB_mj.html#X849BB912798A01EB">B.1-20</a> <br />
ResidueClassRing <a href="chapD_mj.html#X78D7BABE806B82FA">D.2-18</a> <br />
<code class="func">KroneckerMat</code>, for matrices <a href="chap5_mj.html#X7CDA5D848468A0AA">5.5-17</a> <br />
homalgTable entry <a href="chapB_mj.html#X82202A6A7FAB7174">B.1-14</a> <br />
ResidueClassRing <a href="chapD_mj.html#X85F1DDDB864AF265">D.2-12</a> <br />
<code class="func">KrullDimension</code> <a href="chap3_mj.html#X789CF8B778A0C58D">3.4-21</a> <br />
<code class="func">LeftDivide</code>, for pairs of matrices <a href="chap5_mj.html#X7D0EAF527F8514E0">5.5-52</a> <br />
for triples of matrices <a href="chap5_mj.html#X86CEB1FC7C358777">5.5-54</a> <br />
<code class="func">LeftGlobalDimension</code> <a href="chap3_mj.html#X8735C56B7BEBC86E">3.4-22</a> <br />
<code class="func">LeftInverse</code> <a href="chap5_mj.html#X7EFCE38281AE60F9">5.4-12</a> <br />
for matrices <a href="chap5_mj.html#X7FBAA11B8008D936">5.5-2</a> <br />
<code class="func">LeftInverseLazy</code>, for matrices <a href="chap5_mj.html#X7A7E42C179142727">5.5-4</a> <br />
<code class="func">MatrixOfSymbols</code> <a href="chap5_mj.html#X835972A77F02C5BB">5.4-24</a> <br />
<code class="func">MinusOne</code> <a href="chap3_mj.html#X810D03AA827BD128">3.4-8</a> <br />
<code class="func">MulMat</code>, homalgTable entry <a href="chapB_mj.html#X828F8C7785EEC3D1">B.1-16</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7A5D229384E9D19C">D.2-14</a> <br />
<code class="func">NonZeroColumns</code> <a href="chap5_mj.html#X7F335DCB7B8781E4">5.4-7</a> <br />
<code class="func">NonZeroRows</code> <a href="chap5_mj.html#X7991ED337C73065A">5.4-6</a> <br />
<code class="func">NumberColumns</code> <a href="chap5_mj.html#X847D45BF7F2BC67C">5.4-2</a> <br />
homalgTable entry <a href="chapB_mj.html#X7DFA534B7AFA2E17">B.1-22</a> <br />
ResidueClassRing <a href="chapD_mj.html#X79A76B1A7CB57518">D.2-20</a> <br />
<code class="func">NumberRows</code> <a href="chap5_mj.html#X7C72971F7D0CA3C8">5.4-1</a> <br />
homalgTable entry <a href="chapB_mj.html#X7F4D7FAF821DA1C2">B.1-21</a> <br />
ResidueClassRing <a href="chapD_mj.html#X85CE26418598FACE">D.2-19</a> <br />
<code class="func">NumeratorOfHilbertPoincareSeries</code> <a href="chap5_mj.html#X7C44039382DD5D91">5.4-17</a> <br />
<code class="func">One</code>, for homalg rings <a href="chap3_mj.html#X84701329860750C3">3.4-7</a> <br />
<code class="func">PositionOfFirstNonZeroEntryPerColumn</code> <a href="chap5_mj.html#X83B389A97A703E42">5.4-9</a> <br />
homalgTable entry <a href="chapB_mj.html#X833B384278492266">B.2-10</a> <br />
<code class="func">PositionOfFirstNonZeroEntryPerRow</code> <a href="chap5_mj.html#X7B7A073D7E1FAEA4">5.4-8</a> <br />
homalgTable entry <a href="chapB_mj.html#X7F40B57079CF80ED">B.2-9</a> <br />
<code class="func">ProductOfIndeterminates</code> <a href="chap3_mj.html#X7CC4312578DC42B6">3.4-9</a> <br />
<code class="func">ProjectiveDegree</code> <a href="chap5_mj.html#X82A1B55879AB1742">5.4-22</a> <br />
<code class="func">Range</code>, for ring maps <a href="chap4_mj.html#X7EBE68567900396A">4.4-2</a> <br />
<code class="func">RationalParameters</code> <a href="chap3_mj.html#X7DF4F71C86835DCF">3.4-10</a> <br />
<code class="func">ReducedBasisOfColumnModule</code>, for matrices <a href="chap5_mj.html#X84CED11F7A633BDA">5.5-37</a> <br />
<code class="func">ReducedBasisOfRowModule</code>, for matrices <a href="chap5_mj.html#X82E0FF517DC38040">5.5-36</a> <br />
<code class="func">ReducedSyzygiesGeneratorsOfColumns</code>, for matrices <a href="chap5_mj.html#X8699114D7A865C11">5.5-39</a> <br />
<code class="func">ReducedSyzygiesGeneratorsOfRows</code>, for matrices <a href="chap5_mj.html#X7DE458D67B9B85BF">5.5-38</a> <br />
<code class="func">ReducedSyzygiesOfColumns</code>, for matrices <a href="chap5_mj.html#X8766BBD578557D15">5.5-50</a> <br />
for pairs of matrices <a href="chap5_mj.html#X8766BBD578557D15">5.5-50</a> <br />
<code class="func">ReducedSyzygiesOfRows</code>, for matrices <a href="chap5_mj.html#X86A798D4850BF9E8">5.5-49</a> <br />
for pairs of matrices <a href="chap5_mj.html#X86A798D4850BF9E8">5.5-49</a> <br />
<code class="func">RelativeIndeterminateAntiCommutingVariablesOfExteriorRing</code> <a href="chap3_mj.html#X7C63673A80911044">3.4-18</a> <br />
<code class="func">RelativeIndeterminateCoordinatesOfRingOfDerivations</code> <a href="chap3_mj.html#X821FCC287E4FB92F">3.4-14</a> <br />
<code class="func">RelativeIndeterminateDerivationsOfRingOfDerivations</code> <a href="chap3_mj.html#X8522A7987C6483ED">3.4-16</a> <br />
<code class="func">RelativeIndeterminatesOfPolynomialRing</code> <a href="chap3_mj.html#X84CE78E379A34C56">3.4-12</a> <br />
<code class="func">RelativeSyzygiesGeneratorsOfColumns</code>, ResidueClassRing <a href="chapD_mj.html#X852F9FD8837D97A5">D.1-12</a> <br />
<code class="func">RelativeSyzygiesGeneratorsOfRows</code>, ResidueClassRing <a href="chapD_mj.html#X7DF62C5D7D2E6A6E">D.1-11</a> <br />
<code class="func">RightDivide</code>, for pairs of matrices <a href="chap5_mj.html#X850AEC9C7C00AFF5">5.5-51</a> <br />
for triples of matrices <a href="chap5_mj.html#X7A8546EA87E3AE67">5.5-53</a> <br />
<code class="func">RightGlobalDimension</code> <a href="chap3_mj.html#X7E6C5B5781EF78C5">3.4-23</a> <br />
<code class="func">RightInverse</code> <a href="chap5_mj.html#X87614CA48493B63F">5.4-13</a> <br />
for matrices <a href="chap5_mj.html#X7AAD17D47839BCAE">5.5-3</a> <br />
<code class="func">RightInverseLazy</code>, for matrices <a href="chap5_mj.html#X7FA3E7617EED7E1E">5.5-5</a> <br />
<code class="func">RingElementConstructor</code> <a href="chap3_mj.html#X816D807781E8F854">3.4-3</a> <br />
<code class="func">RingMap</code>, constructor for ring maps <a href="chap4_mj.html#X7F21AB318507FF83">4.2-1</a> <br />
<code class="func">RowRankOfMatrix</code> <a href="chap5_mj.html#X862841E68674FA2A">5.4-10</a> <br />
<code class="func">SafeLeftDivide</code>, for pairs of matrices <a href="chap5_mj.html#X85B64BD47F0379C5">5.5-56</a> <br />
<code class="func">SafeRightDivide</code>, for pairs of matrices <a href="chap5_mj.html#X86DFDD25824E2F35">5.5-55</a> <br />
<code class="func">SimplifyHomalgMatrixByLeftAndRightMultiplicationWithInvertibleMatrices</code>, for matrices <a href="chap5_mj.html#X81CDBBBE878DC1E5">5.5-61</a> <br />
<code class="func">SimplifyHomalgMatrixByLeftMultiplicationWithInvertibleMatrix</code>, for matrices <a href="chap5_mj.html#X85DA10C07E7E5A3D">5.5-62</a> <br />
<code class="func">SimplifyHomalgMatrixByRightMultiplicationWithInvertibleMatrix</code>, for matrices <a href="chap5_mj.html#X79C124318588F37F">5.5-63</a> <br />
<code class="func">Source</code>, for ring maps <a href="chap4_mj.html#X83678DEC78394702">4.4-1</a> <br />
<code class="func">StableRank</code> <a href="chap3_mj.html#X822907CB7919EEF2">3.4-27</a> <br />
<code class="func">SubMat</code>, homalgTable entry <a href="chapB_mj.html#X7FE11AA27AE7D2D7">B.1-18</a> <br />
ResidueClassRing <a href="chapD_mj.html#X79A1C9297BE0C09A">D.2-16</a> <br />
<code class="func">SyzygiesGeneratorsOfColumns</code>, for matrices <a href="chap5_mj.html#X86504B757F6DC990">5.5-33</a> <br />
for pairs of matrices <a href="chap5_mj.html#X7D3FC0CE7B63AAF1">5.5-35</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7899768C8304A59E">D.1-6</a> <br />
<code class="func">SyzygiesGeneratorsOfRows</code>, for matrices <a href="chap5_mj.html#X86ECEA9B7A4AE578">5.5-32</a> <br />
for pairs of matrices <a href="chap5_mj.html#X84A93458804F16F6">5.5-34</a> <br />
ResidueClassRing <a href="chapD_mj.html#X80F4836F7F175B12">D.1-5</a> <br />
<code class="func">SyzygiesOfColumns</code>, for matrices <a href="chap5_mj.html#X80325CAD7CE56F4F">5.5-48</a> <br />
for pairs of matrices <a href="chap5_mj.html#X80325CAD7CE56F4F">5.5-48</a> <br />
<code class="func">SyzygiesOfRows</code>, for matrices <a href="chap5_mj.html#X86C93ABD857447F8">5.5-47</a> <br />
for pairs of matrices <a href="chap5_mj.html#X86C93ABD857447F8">5.5-47</a> <br />
<code class="func">TransposedMatrix</code>, for matrices <a href="chap5_mj.html#X7D0D35B582D9C0B0">5.5-7</a> <br />
homalgTable entry <a href="chapB_mj.html#X7AD2EEE680DF472B">B.1-6</a> <br />
ResidueClassRing <a href="chapD_mj.html#X816CBEA6790E0C31">D.2-6</a> <br />
<code class="func">TypeOfHomalgMatrix</code> <a href="chap3_mj.html#X7E5426C67AA9A6E5">3.4-4</a> <br />
<code class="func">UnionOfColumns</code>, for a homalg ring, an integer and a list of homalg matrices <a href="chap5_mj.html#X7FF9661D85EC46B1">5.5-11</a> <br />
homalgTable entry <a href="chapB_mj.html#X7DF5DB55836D13A7">B.1-11</a> <br />
ResidueClassRing <a href="chapD_mj.html#X862F756A7FC0F0D4">D.2-10</a> <br />
<code class="func">UnionOfColumnsPair</code>, homalgTable entry <a href="chapB_mj.html#X8092789C87E37020">B.1-12</a> <br />
<code class="func">UnionOfRows</code>, for a homalg ring, an integer and a list of homalg matrices <a href="chap5_mj.html#X7D6D0BDF854C9EBC">5.5-10</a> <br />
homalgTable entry <a href="chapB_mj.html#X7DEB535782A3323E">B.1-9</a> <br />
ResidueClassRing <a href="chapD_mj.html#X8510678E8569799E">D.2-9</a> <br />
<code class="func">UnionOfRowsPair</code>, homalgTable entry <a href="chapB_mj.html#X86C345CE82AAB220">B.1-10</a> <br />
<code class="func">UniqueLeftDivide</code>, for pairs of matrices <a href="chap5_mj.html#X8788CB987A8A18A7">5.5-58</a> <br />
<code class="func">UniqueRightDivide</code>, for pairs of matrices <a href="chap5_mj.html#X7F6BAF8E7F2343EA">5.5-57</a> <br />
<code class="func">UnreducedNumeratorOfHilbertPoincareSeries</code> <a href="chap5_mj.html#X781E2CDB8743B1C6">5.4-16</a> <br />
<code class="func">Zero</code>, for homalg rings <a href="chap3_mj.html#X799B5F797F809EE5">3.4-6</a> <br />
<code class="func">ZeroColumns</code> <a href="chap5_mj.html#X870D761F7AB96D12">5.4-5</a> <br />
homalgTable entry <a href="chapB_mj.html#X7A469E6D7EA63BB6">B.2-5</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7E78F7D6796C7016">D.3-5</a> <br />
<code class="func">ZeroMatrix</code>, homalgTable entry <a href="chapB_mj.html#X785390E38396CAEB">B.1-3</a> <br />
ResidueClassRing <a href="chapD_mj.html#X80393225841391E7">D.2-3</a> <br />
<code class="func">ZeroRows</code> <a href="chap5_mj.html#X828225E0857B1FDA">5.4-4</a> <br />
homalgTable entry <a href="chapB_mj.html#X872B70367F412945">B.2-4</a> <br />
ResidueClassRing <a href="chapD_mj.html#X7EFC928C7E59CEAE">D.3-4</a> <br />
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