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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head> <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX- </script> <title>GAP (homalg) - Index</title> <meta http-equiv="content-type" content="text/html; charset=UTF-8" /> <meta name="generator" content="GAPDoc2HTML" /> <link rel="stylesheet" type="text/css" href="manual.css" /> <script src="manual.js" type="text/javascript"></script> <script type="text/javascript">overwriteStyle();</script> </head> <body class="chapInd" onload="jscontent()"> <div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top< <div class="chlinkprevnexttop"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.ht <p id="mathjaxlink" class="pcenter"><a href="chapInd.html">[MathJax off]</a></p> <p><a id="X83A0356F839C696F" name="X83A0356F839C696F"></a></p> <div class="index"> <h3>Index</h3> <strong class="pkg">homalg</strong> <a href="chap0_mj.html#X8537FEB07AF2BEC8">.-3</a> <br /> <code class="func">Add</code>, to complexes given a matrix <a href="chap6_mj.html#X7F10893B78 to complexes given a morphism <a href="chap6_mj.html#X7F10893B78FEDEB7">6.5-1</a> <br /> <code class="func">AffineDimension</code> <a href="chap3_mj.html#X7BC36CC67CB09858">3.4-2 <code class="func">Annihilator</code>, for elements <a href="chap5_mj.html#X8557F75878DEEA for static objects <a href="chap3_mj.html#X81889C777A22A5D3">3.4-11</a> <br /> <code class="func">AsDifferentialObject</code>, for homalg bigraded objects stemming from a b <code class="func">BettiTable</code>, for complexes <a href="chap6_mj.html#X7DE6E8D8875B51 <code class="func">ByASmallerPresentation</code>, for bicomplexes <a href="chap8_mj.html#X for bigraded objects <a href="chap9_mj.html#X7A70FD7C82C0C837">9.4-1</a> <br /> for chain morphisms <a href="chap7_mj.html#X875F27D07EB78998">7.5-1</a> <br /> for complexes <a href="chap6_mj.html#X79677A407C9EF3A0">6.5-2</a> <br /> for morphisms <a href="chap4_mj.html#X7B4F9EF27A241520">4.5-1</a> <br /> for spectral sequences <a href="chap10_mj.html#X8775988481D1579F">10.4-1</a> <br /> <code class="func">ChernCharacter</code> <a href="chap3_mj.html#X79942F6187DF4434">3.4-26< <code class="func">ChernPolynomial</code> <a href="chap3_mj.html#X81024DAF8695083E">3.4-2 <code class="func">CodegreeOfPurity</code> <a href="chap3_mj.html#X8021C33D85444081">3.4- <code class="func">CokernelEpi</code>, for morphisms <a href="chap4_mj.html#X7F3927E287087 <code class="func">CokernelNaturalGeneralizedIsomorphism</code>, for morphisms <a href="ch <code class="func">ComposeFunctors</code>, constructor for functors given two functors <a href <code class="func">ConstantTermOfHilbertPolynomialn</code> <a href="chap3_mj.html#X791B7 <code class="func">ConstructedAsAnIdeal</code> <a href="chap3_mj.html#X7CD026F185A5E41E"> <code class="func">CreateHomalgFunctor</code>, constructor for functors <a href="chap11_mj. <code class="func">CurrentResolution</code> <a href="chap3_mj.html#X87AEDF2985D65DCC">3.5 <code class="func">DefectOfExactness</code>, for homalg differential bigraded objects <a href <code class="func">DegreeOfMorphism</code> <a href="chap4_mj.html#X8500C49A784C8EDC">4.4- <code class="func">DegreeOfTorsionFreeness</code> <a href="chap3_mj.html#X807BA3C583D3F1 <code class="func">ElementOfGrothendieckGroup</code> <a href="chap3_mj.html#X7FC73571798 <code class="func">EmbeddingInSuperObject</code> <a href="chap3_mj.html#X7C16CBCC78C56CD <code class="func">EndomorphismRing</code>, for static objects <a href="chap3_mj.html#X809A <code class="func">FactorObject</code> <a href="chap3_mj.html#X7FB9A7C3785D92DC">3.4-8</a> <b <code class="func">FiltrationByShortExactSequence</code>, for complexes <a href="chap6_mj. <code class="func">FiniteFreeResolutionExists</code> <a href="chap3_mj.html#X8784F151844 <code class="func">FullSubobject</code> <a href="chap3_mj.html#X8236B1D480ED04CD">3.4-4</a> < <code class="func">functor_DefectOfExactness</code> <a href="chap11_mj.html#X795B435785C <code class="func">functor_Kernel</code> <a href="chap11_mj.html#X7E1FD2EA8358FEA7">11.4- <code class="func">GeneralizedEmbeddingsInTotalDefects</code> <a href="chap10_mj.html#X7 <code class="func">GeneralizedEmbeddingsInTotalObjects</code> <a href="chap10_mj.html#X8 <code class="func">Genesis</code> <a href="chap11_mj.html#X7BCB7F008620570C">11.3-3</a> <br /> <code class="func">Grade</code> <a href="chap3_mj.html#X7E32A9FC81E0E101">3.4-17</a> <br /> <code class="func">HasConstantRank</code> <a href="chap3_mj.html#X7A20E4597A707218">3.3-1 <code class="func">HilbertPolynomial</code> <a href="chap3_mj.html#X84299BAB807A1E13">3.4 <code class="func">HomalgBicomplex</code>, constructor for bicomplexes given a complex of com <code class="func">HomalgBigradedObject</code>, constructor for bigraded objects given a bic <code class="func">HomalgChainMorphism</code>, constructor for chain morphisms given a morph <code class="func">HomalgCocomplex</code>, constructor for cocomplexes given a chain morphis constructor for cocomplexes given a complex <a href="chap6_mj.html#X82E0E9D17E29A67B">6.2 constructor for cocomplexes given a morphism <a href="chap6_mj.html#X82E0E9D17E29A67B">6. constructor for cocomplexes given a object <a href="chap6_mj.html#X82E0E9D17E29A67B">6.2- <code class="func">HomalgComplex</code>, constructor for complexes given a chain morphism <a hr constructor for complexes given a complex <a href="chap6_mj.html#X7C0D9D0178477517">6.2-1< constructor for complexes given a morphism <a href="chap6_mj.html#X7C0D9D0178477517">6.2- constructor for complexes given an object <a href="chap6_mj.html#X7C0D9D0178477517">6.2-1< <code class="func">HomalgSpectralSequence</code>, constructor for spectral sequences given constructor for spectral sequences without a special sheet given a bicomplex <a href="chap10_ constructor for spectral sequences without bound and without a special sheet given a bicomple constructor for spectral sequences without bound given a bicomplex <a href="chap10_mj.html# <code class="func">ImageObjectEmb</code>, for morphisms <a href="chap4_mj.html#X85FA7C1980 <code class="func">ImageObjectEpi</code>, for morphisms <a href="chap4_mj.html#X86E3E1BA7B <code class="func">ImageSubobject</code> <a href="chap4_mj.html#X82FB6A4687E778D5">4.4-7</ <code class="func">in</code>, for elements <a href="chap5_mj.html#X7A4ED0528640EEFE">5.5-1</ <code class="func">InsertObjectInMultiFunctor</code>, constructor for functors given a mult <code class="func">InstallDeltaFunctor</code> <a href="chap11_mj.html#X7BD3887982B2663E"> <code class="func">InstallFunctor</code> <a href="chap11_mj.html#X7EAE59AC7D402D5A">11.7- <code class="func">InverseOfGeneralizedMorphismWithFullDomain</code> <a href="chap4_mj.h <code class="func">IsAcyclic</code> <a href="chap6_mj.html#X847A62A6806046C4">6.3-3</a> <br /> <code class="func">IsArtinian</code> <a href="chap3_mj.html#X7D8F8A0B81EFD22A">3.3-10</a> <br <code class="func">IsAutomorphism</code> <a href="chap4_mj.html#X7F30E3D37E9D7F37">4.3-13< for chain morphisms <a href="chap7_mj.html#X856D1F5C7E289064">7.3-12</a> <br /> <code class="func">IsBicocomplexOfFinitelyPresentedObjectsRep</code> <a href="chap8_mj.h <code class="func">IsBicomplex</code> <a href="chap8_mj.html#X87886CA9828D0B4A">8.3-2</a> <br <code class="func">IsBicomplexOfFinitelyPresentedObjectsRep</code> <a href="chap8_mj.htm <code class="func">IsBigradedObjectOfFinitelyPresentedObjectsRep</code> <a href="chap9_m <code class="func">IsBisequence</code> <a href="chap8_mj.html#X7912E2147849BA74">8.3-1</a> <b <code class="func">IsChainMorphismOfFinitelyPresentedObjectsRep</code> <a href="chap7_mj <code class="func">IsCochainMorphismOfFinitelyPresentedObjectsRep</code> <a href="chap7_ <code class="func">IsCocomplexOfFinitelyPresentedObjectsRep</code> <a href="chap6_mj.htm <code class="func">IsCohenMacaulay</code> <a href="chap3_mj.html#X8373421F7E085763">3.3-1 <code class="func">IsComplex</code> <a href="chap6_mj.html#X856E7B4E8264E8F0">6.3-2</a> <br /> <code class="func">IsComplexOfFinitelyPresentedObjectsRep</code> <a href="chap6_mj.html# <code class="func">IsCyclicGenerator</code> <a href="chap5_mj.html#X7886344B7A8B9304">5.3 <code class="func">IsElementOfAnObjectGivenByAMorphismRep</code> <a href="chap5_mj.html# <code class="func">IsEndowedWithDifferential</code> <a href="chap9_mj.html#X82DD24197D46 <code class="func">IsEpimorphism</code> <a href="chap4_mj.html#X8724CEF182DC4064">4.3-9</a> < for chain morphisms <a href="chap7_mj.html#X7C8E0B1A7A8EE198">7.3-8</a> <br /> <code class="func">IsExactSequence</code> <a href="chap6_mj.html#X793465497B435197">6.3-7< <code class="func">IsExactTriangle</code> <a href="chap6_mj.html#X81E57EE37FC94539">6.3-1 <code class="func">IsFinitelyPresentedObjectRep</code> <a href="chap3_mj.html#X7F1BC3F77 <code class="func">IsFree</code> <a href="chap3_mj.html#X7CD2A77778432E7B">3.3-1</a> <br /> <code class="func">IsGeneralizedEpimorphism</code> <a href="chap4_mj.html#X7AD32A427B247 for chain morphisms <a href="chap7_mj.html#X84FE6CFD85AB7B73">7.3-3</a> <br /> <code class="func">IsGeneralizedIsomorphism</code> <a href="chap4_mj.html#X83F05F467DA5E for chain morphisms <a href="chap7_mj.html#X7D686DF9832AE258">7.3-5</a> <br /> <code class="func">IsGeneralizedMonomorphism</code> <a href="chap4_mj.html#X83C68AEA7FE4 for chain morphisms <a href="chap7_mj.html#X7C7A07FD795C903E">7.3-4</a> <br /> <code class="func">IsGeneralizedMorphismWithFullDomain</code> <a href="chap4_mj.html#X7B for chain morphisms <a href="chap7_mj.html#X8194427F8423EB00">7.3-2</a> <br /> <code class="func">IsGorenstein</code> <a href="chap3_mj.html#X83CBA38E81DC4A72">3.3-14</a> < <code class="func">IsGradedMorphism</code>, for chain morphisms <a href="chap7_mj.html#X81B <code class="func">IsGradedObject</code> <a href="chap6_mj.html#X78FEA48B7839E683">6.3-6</ <code class="func">IsHomalgBicomplex</code> <a href="chap8_mj.html#X80B7C45A850F4C3E">8.1 <code class="func">IsHomalgBigradedObject</code> <a href="chap9_mj.html#X795C082E8374803 <code class="func">IsHomalgBigradedObjectAssociatedToABicomplex</code> <a href="chap9_mj <code class="func">IsHomalgBigradedObjectAssociatedToAFilteredComplex</code> <a href="ch <code class="func">IsHomalgBigradedObjectAssociatedToAnExactCouple</code> <a href="chap9 <code class="func">IsHomalgChainEndomorphism</code> <a href="chap7_mj.html#X853BD37084BF <code class="func">IsHomalgChainMorphism</code> <a href="chap7_mj.html#X7CB62E188027B7C5 <code class="func">IsHomalgComplex</code> <a href="chap6_mj.html#X8166F9FD7BFDA207">6.1-1< <code class="func">IsHomalgElement</code> <a href="chap5_mj.html#X784BBB2A782DB774">5.1-1< <code class="func">IsHomalgEndomorphism</code> <a href="chap4_mj.html#X7933C51A842ABA32"> <code class="func">IsHomalgFunctor</code> <a href="chap11_mj.html#X7EB19E0787C99FF2">11.1 <code class="func">IsHomalgFunctorRep</code> <a href="chap11_mj.html#X87ECF5AF7A154723">1 <code class="func">IsHomalgMorphism</code> <a href="chap4_mj.html#X7D0F89828196DFF0">4.1- <code class="func">IsHomalgObject</code> <a href="chap3_mj.html#X7E610FA77A49B9EC">3.1-1</ <code class="func">IsHomalgSpectralSequence</code> <a href="chap10_mj.html#X795DCCD88630 <code class="func">IsHomalgSpectralSequenceAssociatedToABicomplex</code> <a href="chap10 <code class="func">IsHomalgSpectralSequenceAssociatedToAFilteredComplex</code> <a href=" <code class="func">IsHomalgSpectralSequenceAssociatedToAnExactCouple</code> <a href="cha <code class="func">IsHomalgStaticMorphism</code> <a href="chap4_mj.html#X81458CA5836D582 <code class="func">IsHomalgStaticObject</code> <a href="chap3_mj.html#X79FC4A848517AF55"> <code class="func">IsIdempotent</code> <a href="chap4_mj.html#X7CB5896082D29173">4.3-7</a> <b <code class="func">IsInjective</code> <a href="chap3_mj.html#X7F065FD7822C0A12">3.3-5</a> <br <code class="func">IsInjectiveCogenerator</code> <a href="chap3_mj.html#X7FCE608683CCDC6 <code class="func">IsIsomorphism</code> <a href="chap4_mj.html#X7E07BBF57B92BA56">4.3-12</ for chain morphisms <a href="chap7_mj.html#X85180A1E83C01BAA">7.3-11</a> <br /> <code class="func">IsKoszul</code> <a href="chap3_mj.html#X7E7AEFBE7801F196">3.3-15</a> <br /> <code class="func">IsLeftAcyclic</code> <a href="chap6_mj.html#X8673124C83AA8FCC">6.3-5</a> < <code class="func">IsMonomorphism</code> <a href="chap4_mj.html#X78AD1FDD7F53932C">4.3-8</ for chain morphisms <a href="chap7_mj.html#X8709A2597FE67C7F">7.3-7</a> <br /> <code class="func">IsMorphism</code> <a href="chap4_mj.html#X7F66120A814DC16B">4.3-1</a> <br /> for chain morphisms <a href="chap7_mj.html#X798B6A897FE4FF12">7.3-1</a> <br /> <code class="func">IsMorphismOfFinitelyGeneratedObjectsRep</code> <a href="chap4_mj.html <code class="func">IsOne</code> <a href="chap4_mj.html#X814D78347858EC13">4.3-6</a> <br /> for chain morphisms <a href="chap7_mj.html#X790FC54F7DF8B5B1">7.3-6</a> <br /> <code class="func">IsProjective</code> <a href="chap3_mj.html#X7EC041A77E7E46D2">3.3-3</a> <b <code class="func">IsProjectiveOfConstantRank</code> <a href="chap3_mj.html#X84A8AB217E8 <code class="func">IsPure</code> <a href="chap3_mj.html#X7B894ED27D38E4B5">3.3-12</a> <br /> <code class="func">IsQuasiIsomorphism</code>, for chain morphisms <a href="chap7_mj.html#X7 <code class="func">IsReflexive</code> <a href="chap3_mj.html#X7A6A34C283332F60">3.3-8</a> <br <code class="func">IsRightAcyclic</code> <a href="chap6_mj.html#X7F4927337891E086">6.3-4</ <code class="func">IsSequence</code> <a href="chap6_mj.html#X7C668F517AEB1F99">6.3-1</a> <br /> <code class="func">IsShortExactSequence</code> <a href="chap6_mj.html#X87ADD4F685457000"> <code class="func">IsSpectralCosequenceOfFinitelyPresentedObjectsRep</code> <a href="cha <code class="func">IsSpectralSequenceOfFinitelyPresentedObjectsRep</code> <a href="chap1 <code class="func">IsSplitEpimorphism</code> <a href="chap4_mj.html#X80A66EFA862E56BC">4. for chain morphisms <a href="chap7_mj.html#X87508506872F4FC3">7.3-10</a> <br /> <code class="func">IsSplitMonomorphism</code> <a href="chap4_mj.html#X7DFACF1F7D7F7EE9">4 for chain morphisms <a href="chap7_mj.html#X8724A5E77FD88D49">7.3-9</a> <br /> <code class="func">IsSplitShortExactSequence</code> <a href="chap6_mj.html#X7BAF58198690 <code class="func">IsStableSheet</code> <a href="chap9_mj.html#X8466E4747DF9DDF4">9.3-2</a> < <code class="func">IsStablyFree</code> <a href="chap3_mj.html#X7D49FC85781256AB">3.3-2</a> <b <code class="func">IsStaticFinitelyPresentedObjectOrSubobjectRep</code> <a href="chap3_m <code class="func">IsStaticFinitelyPresentedObjectRep</code> <a href="chap3_mj.html#X7B6 <code class="func">IsStaticFinitelyPresentedSubobjectRep</code> <a href="chap3_mj.html#X <code class="func">IsStaticMorphismOfFinitelyGeneratedObjectsRep</code> <a href="chap4_m <code class="func">IsTorsion</code> <a href="chap3_mj.html#X80C6B26284721409">3.3-11</a> <a hr <code class="func">IsTorsionFree</code> <a href="chap3_mj.html#X86D92DA17DCE22DD">3.3-9</a> < <code class="func">IsTransposedWRTTheAssociatedComplex</code> <a href="chap8_mj.html#X85 <code class="func">IsTriangle</code> <a href="chap6_mj.html#X84B794FB86C169CF">6.3-10</a> <br <code class="func">IsZero</code>, for elements <a href="chap5_mj.html#X7D16A0BB80BA69DC">5. <code class="func">KernelEmb</code>, for morphisms <a href="chap4_mj.html#X82672DB279FAEFC <code class="func">KernelSubobject</code> <a href="chap4_mj.html#X87C00FFB79FA93A8">4.4-5< <code class="func">LeftDerivedFunctor</code>, constructor of the left derived functor of a cov <code class="func">LeftSatelliteOfFunctor</code>, constructor of the left satellite of a cova <code class="func">MorphismAid</code> <a href="chap4_mj.html#X823682157C6B4D63">4.4-10</a> <b <code class="func">NameOfFunctor</code> <a href="chap11_mj.html#X845E5EF17BBBF64C">11.3-1< <code class="func">NatTrIdToHomHom_R</code>, for morphisms <a href="chap3_mj.html#X7FC5F0A <code class="func">OperationOfFunctor</code> <a href="chap11_mj.html#X796A383A7AEDA56E">1 <code class="func">ProcedureToReadjustGenerators</code>, for functors <a href="chap11_mj.h <code class="func">ProjectiveDegree</code> <a href="chap3_mj.html#X82A1B55879AB1742">3.4- <code class="func">ProjectiveDimension</code> <a href="chap3_mj.html#X84FDF25D797B874B">3 <code class="func">PurityFiltration</code> <a href="chap3_mj.html#X816186E587563E3F">3.4- <code class="func">Range</code> <a href="chap4_mj.html#X829F76BB80BD55DB">4.4-2</a> <br /> for chain morphisms <a href="chap7_mj.html#X842454D5851D0C79">7.4-2</a> <br /> <code class="func">RankOfObject</code> <a href="chap3_mj.html#X7E192147807E66DA">3.4-14</a> < <code class="func">RightDerivedCofunctor</code>, constructor of the right derived functor of <code class="func">RightSatelliteOfCofunctor</code>, constructor of the right satellite of a <code class="func">Saturate</code>, for ideals <a href="chap3_mj.html#X82AE15AF82136AE0">3. <code class="func">Source</code> <a href="chap4_mj.html#X7DE8173F80E07AB1">4.4-1</a> <br /> for chain morphisms <a href="chap7_mj.html#X81A0D7187D28BA34">7.4-1</a> <br /> <code class="func">SpectralSequence</code>, for bicomplexes <a href="chap8_mj.html#X7E672C <code class="func">Subobject</code>, constructor for subobjects using morphisms <a href="chap <code class="func">SuperObject</code>, for subobjects <a href="chap3_mj.html#X7ADC5B647C8E <code class="func">TheIdentityMorphism</code> <a href="chap3_mj.html#X85EFEC127CA408A1">3 <code class="func">TheMorphismToZero</code> <a href="chap3_mj.html#X82BCEE867CBE84E5">3.4 <code class="func">TorsionSubobject</code> <a href="chap3_mj.html#X7E6C8ED2865B6F35">3.4- <code class="func">TotalComplex</code> <a href="chap8_mj.html#X7C805D967E803BEF">8.4-1</a> <b <code class="func">UnderlyingComplex</code> <a href="chap8_mj.html#X7CE9470285B819BC">8.5 <code class="func">UnderlyingObject</code>, for subobjects <a href="chap3_mj.html#X81FACFA <code class="func">UnderlyingSubobject</code> <a href="chap3_mj.html#X7A23EAD67E6B85C1">3 <code class="func">UnitObject</code> <a href="chap3_mj.html#X85F3D7CF81E85423">3.4-13</a> <br <code class="func">ZeroSubobject</code> <a href="chap3_mj.html#X81679BB58541E235">3.4-5</a> < <p> </p> </div> <div class="chlinkprevnextbot"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.ht <div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top< <hr /> <p class="foot">generated by <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/GAP </body> </html> [ zur Elbe Produktseite wechseln0.14Quellennavigators Analyse erneut starten ] |
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