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\GAPDocLabFile{localizeringforhomalg}
\makelabel{localizeringforhomalg:Title page}{}{X7D2C85EC87DD46E5}
\makelabel{localizeringforhomalg:Copyright}{}{X81488B807F2A1CF1}
\makelabel{localizeringforhomalg:Table of Contents}{}{X8537FEB07AF2BEC8}
\makelabel{localizeringforhomalg:Introduction}{1}{X7DFB63A97E67C0A1}
\makelabel{localizeringforhomalg:What is the Role of the LocalizeRingForHomalg Package in the homalg Project?}{1.1}{X7AC2A9FA80501972}
\makelabel{localizeringforhomalg:Functionality}{1.2}{X87F1120883F5B4D0}
\makelabel{localizeringforhomalg:The Math Behind This Package}{1.3}{X7845DA5685210CC3}
\makelabel{localizeringforhomalg:Which Ring to Use?}{1.4}{X795ABF907CEB327F}
\makelabel{localizeringforhomalg:Installation of the LocalizeRingForHomalg Package}{2}{X7E6144A47929DD91}
\makelabel{localizeringforhomalg:Quick Start}{3}{X7EB860EC84DFC71E}
\makelabel{localizeringforhomalg:Localization of ℤ}{3.1}{X799572BF810091BC}
\makelabel{localizeringforhomalg:Localize Rings}{4}{X86CBDDB082295E5F}
\makelabel{localizeringforhomalg:Category and Representations}{4.1}{X826B3EF37FB188A8}
\makelabel{localizeringforhomalg:Rings: Attributes}{4.2}{X867290E7847A5101}
\makelabel{localizeringforhomalg:Operations and Functions}{4.3}{X81CFB50085A4E12F}
\makelabel{localizeringforhomalg:Examples}{5}{X7A489A5D79DA9E5C}
\makelabel{localizeringforhomalg:An Easy Polynomial Example}{5.1}{X8426A658837B4911}
\makelabel{localizeringforhomalg:Hom(Hom(-,Z128),Z16)}{5.2}{X7820475F7C884EA5}
\makelabel{localizeringforhomalg:ResidueClass}{5.3}{X7CC8EA507E7AABA4}
\makelabel{localizeringforhomalg:Testing the Intersection Formula}{5.4}{X7958E7417BB312F0}
\makelabel{localizeringforhomalg:Overview of the LocalizeRingForHomalg Package Source Code}{A}{X7C7697867CBF79C9}
\makelabel{localizeringforhomalg:The generic Methods}{A.1}{X87807E467C364A00}
\makelabel{localizeringforhomalg:The Local Decide Zero trick}{A.2}{X85822F1B7E006A87}
\makelabel{localizeringforhomalg:Tools}{A.3}{X8508AEF8845565A1}
\makelabel{localizeringforhomalg:Bibliography}{Bib}{X7A6F98FD85F02BFE}
\makelabel{localizeringforhomalg:References}{Bib}{X7A6F98FD85F02BFE}
\makelabel{localizeringforhomalg:Index}{Ind}{X83A0356F839C696F}
\makelabel{localizeringforhomalg:LocalizeRingForHomalg}{}{X8537FEB07AF2BEC8}
\makelabel{localizeringforhomalg:IsHomalgLocalRingRep}{4.1.1}{X7AEE9D7F85CD25DD}
\makelabel{localizeringforhomalg:IsHomalgLocalRingElementRep}{4.1.2}{X7E2AD9FF82990735}
\makelabel{localizeringforhomalg:IsHomalgLocalMatrixRep}{4.1.3}{X80AB357F7883ACF3}
\makelabel{localizeringforhomalg:GeneratorsOfMaximalLeftIdeal}{4.2.1}{X7EAE00247B717A0F}
\makelabel{localizeringforhomalg:GeneratorsOfMaximalRightIdeal}{4.2.2}{X85BA4850780569D7}
\makelabel{localizeringforhomalg:AssociatedGlobalRing for homalg local rings}{4.3.1}{X7D8C5E8B8533EE2D}
\makelabel{localizeringforhomalg:AssociatedGlobalRing for homalg local ring elements}{4.3.2}{X8612432F81364A90}
\makelabel{localizeringforhomalg:AssociatedGlobalRing for homalg local matrices}{4.3.3}{X78AE3B5187FC5B24}
\makelabel{localizeringforhomalg:Numerator for homalg local ring elements}{4.3.4}{X86B86F85831145D0}
\makelabel{localizeringforhomalg:Numerator for homalg local matrices}{4.3.5}{X8613D7A27D3D770D}
\makelabel{localizeringforhomalg:Denominator for homalg local ring elements}{4.3.6}{X83E87130831148A4}
\makelabel{localizeringforhomalg:Denominator for homalg local matrices}{4.3.7}{X863DB91A7DEDEA22}
\makelabel{localizeringforhomalg:Name for homalg local ring elements}{4.3.8}{X7FA0CC577E97B6E8}
\makelabel{localizeringforhomalg:SetMatElm for homalg local matrices}{4.3.9}{X80F936B786454DD0}
\makelabel{localizeringforhomalg:AddToMatElm for homalg local matrices}{4.3.10}{X87689354873E0B14}
\makelabel{localizeringforhomalg:MatElmAsString for homalg local matrices}{4.3.11}{X8789D7998407AD36}
\makelabel{localizeringforhomalg:MatElm for homalg local matrices}{4.3.12}{X7EFD740F87ADB6E0}
\makelabel{localizeringforhomalg:Cancel for pairs of ring elements}{4.3.13}{X7F0196827D195F88}
\makelabel{localizeringforhomalg:LocalizeAt for a commutative ring and a maximal ideal}{4.3.14}{X7E4E70FE82978F9C}
\makelabel{localizeringforhomalg:LocalizeAtZero for a free polynomial ring}{4.3.15}{X7D910AA785CEED34}
\makelabel{localizeringforhomalg:LocalizePolynomialRingAtZeroWithMora constructor for homalg localized rings using Mora's algorithm}{4.3.16}{X7F790F3B852C1A5C}
\makelabel{localizeringforhomalg:HomalgLocalRingElement constructor for local ring elements using numerator and denominator}{4.3.17}{X8741B0AE787624CB}
\makelabel{localizeringforhomalg:HomalgLocalRingElement constructor for local ring elements using a given numerator and one as denominator}{4.3.17}{X8741B0AE787624CB}
\makelabel{localizeringforhomalg:HomalgLocalMatrix constructor for local matrices using numerator and denominator}{4.3.18}{X808317A88773E967}
\makelabel{localizeringforhomalg:HomalgLocalMatrix constructor for local matrices using a given numerator and one as denominator}{4.3.18}{X808317A88773E967}
\makelabel{localizeringforhomalg:BasisOfRowModule for local rings}{A.1.1}{X7B04DAB47BAB9165}
\makelabel{localizeringforhomalg:DecideZeroRows for local rings with Mora's algorithm}{A.1.2}{X8196F11E7FD3201C}
\makelabel{localizeringforhomalg:SyzygiesGeneratorsOfRows for local rings}{A.1.3}{X7B1B3662863726EE}
\makelabel{localizeringforhomalg:DecideZeroRows for local rings}{A.2.1}{X790256E88417752F}