CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutSign UpSign In

Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.

| Download

GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

Views: 418346
1
<?xml version="1.0" encoding="UTF-8"?>
2
3
<!--
4
5
Modules.xml Modules package documentation
6
7
Copyright (C) 2007-2009, Mohamed Barakat, RWTH-Aachen
8
9
-->
10
11
<Chapter Label="Modules">
12
<Heading>Modules</Heading>
13
14
<#Include Label="Modules:intro">
15
16
<Section Label="Modules:Category">
17
<Heading>Modules: Category and Representations</Heading>
18
19
<#Include Label="IsHomalgModule">
20
21
<#Include Label="IsFinitelyPresentedModuleOrSubmoduleRep">
22
<#Include Label="IsFinitelyPresentedModuleRep">
23
<#Include Label="IsFinitelyPresentedSubmoduleRep">
24
25
</Section>
26
27
<Section Label="Modules:Constructors">
28
<Heading>Modules: Constructors</Heading>
29
30
<#Include Label="LeftPresentation">
31
<#Include Label="RightPresentation">
32
<#Include Label="HomalgFreeLeftModule">
33
<#Include Label="HomalgFreeRightModule">
34
<#Include Label="HomalgZeroLeftModule">
35
<#Include Label="HomalgZeroRightModule">
36
<#Include Label="\*:ModuleBaseChange">
37
<#Include Label="Subobject:matrix">
38
<#Include Label="Subobject:list">
39
<#Include Label="LeftSubmodule">
40
<#Include Label="RightSubmodule">
41
42
</Section>
43
44
<Section Label="Modules:Properties">
45
<Heading>Modules: Properties</Heading>
46
47
<#Include Label="IsCyclic">
48
<#Include Label="IsHolonomic">
49
<#Include Label="IsReduced">
50
<#Include Label="IsPrimeIdeal">
51
<#Include Label="IsPrimeModule">
52
53
For more properties see the corresponding section <Ref BookName="homalg"
54
Sect="Objects: Properties"/>) in the documentation of the &homalg; package.
55
56
</Section>
57
58
<Section Label="Modules:Attributes">
59
<Heading>Modules: Attributes</Heading>
60
61
<#Include Label="ResidueClassRing">
62
<#Include Label="PrimaryDecomposition">
63
<#Include Label="RadicalDecomposition">
64
<#Include Label="ModuleOfKaehlerDifferentials">
65
<#Include Label="RadicalSubobject">
66
<#Include Label="SymmetricAlgebra">
67
<#Include Label="ExteriorAlgebra">
68
69
<!-- the following attributes are intrinsic in the sense that
70
they can safely be attached to any copy of the module -->
71
72
<#Include Label="ElementaryDivisors">
73
<#Include Label="FittingIdeal">
74
<#Include Label="NonFlatLocus">
75
<#Include Label="LargestMinimalNumberOfLocalGenerators">
76
77
<#Include Label="CoefficientsOfUnreducedNumeratorOfHilbertPoincareSeries">
78
<#Include Label="CoefficientsOfNumeratorOfHilbertPoincareSeries">
79
<#Include Label="UnreducedNumeratorOfHilbertPoincareSeries">
80
<#Include Label="NumeratorOfHilbertPoincareSeries">
81
<#Include Label="HilbertPoincareSeries">
82
<#Include Label="AffineDegree">
83
<#Include Label="DataOfHilbertFunction">
84
<#Include Label="HilbertFunction">
85
<#Include Label="IndexOfRegularity">
86
87
For more attributes see the corresponding section <Ref BookName="homalg"
88
Sect="Objects: Attributes"/>) in the documentation of the &homalg; package.
89
90
</Section>
91
92
<Section Label="Modules:Operations">
93
<Heading>Modules: Operations and Functions</Heading>
94
95
<#Include Label="HomalgRing:module">
96
<#Include Label="ByASmallerPresentation:module">
97
<#Include Label="SubmoduleOfIdealMultiples">
98
<#Include Label="SubobjectQuotient">
99
100
</Section>
101
102
<!-- ############################################################ -->
103
104
</Chapter>
105
106