|
|
|
|
Quelle chapC_mj.html
Sprache: unbekannt
|
|
<?xml version="1.0" encoding="UTF-8"?>
<!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://cdn.jsdelivr.net/npm/mathjax@2/MathJax.js?config=TeX-AMS-MML_HTMLorMML">
</script>
<title>GAP (Modules) - Appendix C: Overview of the Modules Package Source Code</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="chapC" onload="jscontent()">
<div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top</a> <a href="chap1_mj.html">1</a> <a href="chap2_mj.html">2</a> <a href="chap3_mj.html">3</a> <a href="chap4_mj.html">4</a> <a href="chap5_mj.html">5</a> <a href="chap6_mj.html">6</a> <a href="chap7_mj.html">7</a> <a href="chap8_mj.html">8</a> <a href="chap9_mj.html">9</a> <a href="chap10_mj.html">10</a> <a href="chap11_mj.html">11</a> <a href="chap12_mj.html">12</a> <a href="chap13_mj.html">13</a> <a href="chapA_mj.html">A</a> <a href="chapB_mj.html">B</a> <a href="chapC_mj.html">C</a> <a href="chapBib_mj.html">Bib</a> <a href="chapInd_mj.html">Ind</a> </div>
<div class="chlinkprevnexttop"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.html#contents">[Contents]</a> <a href="chapB_mj.html">[Previous Chapter]</a> <a href="chapBib_mj.html">[Next Chapter]</a> </div>
<p id="mathjaxlink" class="pcenter"><a href="chapC.html">[MathJax off]</a></p>
<p><a id="X78684D057C432971" name="X78684D057C432971"></a></p>
<div class="ChapSects"><a href="chapC_mj.html#X78684D057C432971">C <span class="Heading">Overview of the <strong class="pkg">Modules</strong> Package Source Code</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chapC_mj.html#X87ED7A1883976BE9">C.1 <span class="Heading">Relations and Generators</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chapC_mj.html#X81DDCFC578069518">C.2 <span class="Heading">The Basic Objects</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chapC_mj.html#X7BDE961D858BC60E">C.3 <span class="Heading">The High Level Homological Algorithms</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chapC_mj.html#X7E8463067BB2F31E">C.4 <span class="Heading">Logical Implications for <strong class="pkg">homalg</strong> Objects</span></a>
</span>
</div>
</div>
<h3>C <span class="Heading">Overview of the <strong class="pkg">Modules</strong> Package Source Code</span></h3>
<p><a id="X87ED7A1883976BE9" name="X87ED7A1883976BE9"></a></p>
<h4>C.1 <span class="Heading">Relations and Generators</span></h4>
<div class="pcenter"><table class="GAPDocTable">
<caption class="GAPDocTable"><b>Table: </b><em>The <strong class="pkg">homalg</strong> package files</em></caption>
<tr>
<td class="tdleft">Filename <code class="file">.gd</code>/<code class="file">.gi</code></td>
<td class="tdleft">Content</td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgRingMap</code></td>
<td class="tdleft">operations and methods ring maps</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgRelations</code></td>
<td class="tdleft">a set of relations</td>
</tr>
<tr>
<td class="tdleft"><code class="file">SetsOfRelations</code></td>
<td class="tdleft">several sets of relations</td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgGenerators</code></td>
<td class="tdleft">a set of generators</td>
</tr>
<tr>
<td class="tdleft"><code class="file">SetsOfGenerators</code></td>
<td class="tdleft">several sets of generators</td>
</tr>
</table><br />
</div>
<p><a id="X81DDCFC578069518" name="X81DDCFC578069518"></a></p>
<h4>C.2 <span class="Heading">The Basic Objects</span></h4>
<div class="pcenter"><table class="GAPDocTable">
<caption class="GAPDocTable"><b>Table: </b><em>The <strong class="pkg">homalg</strong> package files (continued)</em></caption>
<tr>
<td class="tdleft">Filename <code class="file">.gd</code>/<code class="file">.gi</code></td>
<td class="tdleft">Content</td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgModule</code></td>
<td class="tdleft">modules allowing several presentations</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft">linked with transition matrices</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgSubmodule</code></td>
<td class="tdleft">submodules allowing several sets of generators</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgMap</code></td>
<td class="tdleft">maps allowing several presentations</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft">of their source and target</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgFiltration</code></td>
<td class="tdleft">filtration of a module</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgComplex</code></td>
<td class="tdleft">(co)complexes of modules or of (co)complexes</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgChainMap</code></td>
<td class="tdleft">chain maps of (co)complexes</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft">consisting of maps or chain maps</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgBicomplex</code></td>
<td class="tdleft">bicomplexes of modules or of (co)complexes</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgBigradedObject</code></td>
<td class="tdleft">(differential) bigraded modules</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgSpectralSequence</code></td>
<td class="tdleft">homological and cohomological</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft">spectral sequences</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft"><code class="file">HomalgDiagram</code></td>
<td class="tdleft">Betti diagrams</td>
</tr>
</table><br />
</div>
<p><a id="X7BDE961D858BC60E" name="X7BDE961D858BC60E"></a></p>
<h4>C.3 <span class="Heading">The High Level Homological Algorithms</span></h4>
<div class="pcenter"><table class="GAPDocTable">
<caption class="GAPDocTable"><b>Table: </b><em>The <strong class="pkg">homalg</strong> package files (continued)</em></caption>
<tr>
<td class="tdleft">Filename <code class="file">.gd</code>/<code class="file">.gi</code></td>
<td class="tdleft">Content</td>
</tr>
<tr>
<td class="tdleft"><code class="file">Modules</code></td>
<td class="tdleft">subfactors, resolutions,</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft">parameterizations, intersections, annihilators</td>
</tr>
<tr>
<td class="tdleft"><code class="file">ToolFunctors</code></td>
<td class="tdleft">zero map, composition, addition, substraction,</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft">stacking, augmentation, and post dividing maps</td>
</tr>
<tr>
<td class="tdleft"><code class="file">BasicFunctors</code></td>
<td class="tdleft">cokernel, image, kernel, tensor product, Hom,</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft">Ext, Tor, RHom, LTensorProduct, HomHom, LHomHom,</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft">BaseChange (preliminary)</td>
</tr>
<tr>
<td class="tdleft"><code class="file">OtherFunctors</code></td>
<td class="tdleft">direct sum</td>
</tr>
</table><br />
</div>
<p><a id="X7E8463067BB2F31E" name="X7E8463067BB2F31E"></a></p>
<h4>C.4 <span class="Heading">Logical Implications for <strong class="pkg">homalg</strong> Objects</span></h4>
<div class="pcenter"><table class="GAPDocTable">
<caption class="GAPDocTable"><b>Table: </b><em>The <strong class="pkg">homalg</strong> package files (continued)</em></caption>
<tr>
<td class="tdleft">Filename <code class="file">.gd</code>/<code class="file">.gi</code></td>
<td class="tdleft">Content</td>
</tr>
<tr>
<td class="tdleft"><code class="file">LIMOD</code></td>
<td class="tdleft">logical implications for modules</td>
</tr>
<tr>
<td class="tdleft"></td>
<td class="tdleft"></td>
</tr>
<tr>
<td class="tdleft"><code class="file">LIHOM</code></td>
<td class="tdleft">logical implications for module homomorphisms</td>
</tr>
</table><br />
</div>
<div class="chlinkprevnextbot"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.html#contents">[Contents]</a> <a href="chapB_mj.html">[Previous Chapter]</a> <a href="chapBib_mj.html">[Next Chapter]</a> </div>
<div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top</a> <a href="chap1_mj.html">1</a> <a href="chap2_mj.html">2</a> <a href="chap3_mj.html">3</a> <a href="chap4_mj.html">4</a> <a href="chap5_mj.html">5</a> <a href="chap6_mj.html">6</a> <a href="chap7_mj.html">7</a> <a href="chap8_mj.html">8</a> <a href="chap9_mj.html">9</a> <a href="chap10_mj.html">10</a> <a href="chap11_mj.html">11</a> <a href="chap12_mj.html">12</a> <a href="chap13_mj.html">13</a> <a href="chapA_mj.html">A</a> <a href="chapB_mj.html">B</a> <a href="chapC_mj.html">C</a> <a href="chapBib_mj.html">Bib</a> <a href="chapInd_mj.html">Ind</a> </div>
<hr />
<p class="foot">generated by <a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc">GAPDoc2HTML</a></p>
</body>
</html>
[ Dauer der Verarbeitung: 0.14 Sekunden
(vorverarbeitet)
]
|
2026-03-28
|
|
|
|
|
