<?xml version ="1.0" encoding ="UTF-8" ?>
<!--
Objects.xml homalg package documentation Mohamed Barakat
Copyright (C) 2007-2009, Mohamed Barakat, RWTH-Aachen
-->
<Chapter Label="Objects" >
<Heading>Objects</Heading>
<Section Label="Objects:Category" >
<Heading>Objects: Category and Representations</Heading>
<#Include Label="IsHomalgObject" >
<#Include Label="IsHomalgStaticObject" >
<#Include Label="IsFinitelyPresentedObjectRep" >
<#Include Label="IsStaticFinitelyPresentedObjectOrSubobjectRep" >
<#Include Label="IsStaticFinitelyPresentedObjectRep" >
<#Include Label="IsStaticFinitelyPresentedSubobjectRep" >
</Section>
<Section Label="Objects:Constructors" >
<Heading>Objects: Constructors</Heading>
<#Include Label="Subobject" >
</Section>
<Section Label="Objects:Properties" >
<Heading>Objects: Properties</Heading>
<#Include Label="IsFree" >
<#Include Label="IsStablyFree" >
<#Include Label="IsProjective" >
<#Include Label="IsProjectiveOfConstantRank" >
<#Include Label="IsInjective" >
<#Include Label="IsInjectiveCogenerator" >
<#Include Label="FiniteFreeResolutionExists" >
<#Include Label="IsReflexive" >
<#Include Label="IsTorsionFree" >
<#Include Label="IsArtinian" >
<#Include Label="IsTorsion" >
<#Include Label="IsPure" >
<#Include Label="IsCohenMacaulay" >
<#Include Label="IsGorenstein" >
<#Include Label="IsKoszul" >
<#Include Label="HasConstantRank" >
<#Include Label="ConstructedAsAnIdeal" >
</Section>
<Section Label="Objects:Attributes" >
<Heading>Objects: Attributes</Heading>
<#Include Label="TorsionSubobject" >
<#Include Label="TheMorphismToZero" >
<#Include Label="TheIdentityMorphism" >
<#Include Label="FullSubobject" >
<#Include Label="ZeroSubobject" >
<#Include Label="EmbeddingInSuperObject" >
<#Include Label="SuperObject:subobjects" >
<#Include Label="FactorObject" >
<#Include Label="UnderlyingSubobject" >
<#Include Label="NatTrIdToHomHom_R" >
<#Include Label="Annihilator:objects" >
<#Include Label="EndomorphismRing" >
<#Include Label="UnitObject" >
<!-- the following attributes are intrinsic in the sense that
they can safely be attached to any copy of the module -->
<#Include Label="RankOfObject" >
<#Include Label="ProjectiveDimension" >
<#Include Label="DegreeOfTorsionFreeness" >
<#Include Label="Grade" >
<#Include Label="PurityFiltration" >
<#Include Label="CodegreeOfPurity" >
<#Include Label="HilbertPolynomial" >
<#Include Label="AffineDimension" >
<#Include Label="ProjectiveDegree" >
<#Include Label="ConstantTermOfHilbertPolynomial" >
<#Include Label="ElementOfGrothendieckGroup" >
<#Include Label="ChernPolynomial" >
<#Include Label="ChernCharacter" >
</Section>
<Section Label="Objects:Operations" >
<Heading>Objects: Operations and Functions</Heading>
<#Include Label="CurrentResolution" >
<#Include Label="UnderlyingObject" >
<#Include Label="Saturate" >
</Section>
<!-- ############################################################ -->
</Chapter>
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