Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/modules/doc/   (Algebra von RWTH Aachen Version 4.15.1©)  Datei vom 22.11.2024 mit Größe 5 kB image not shown  

Quelle  chap4.html   Sprache: HTML

 
 products/Sources/formale Sprachen/GAP/pkg/modules/doc/chap4.html


<?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>
<title>GAP (Modules) - Chapter 4: Ring Maps</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="chap4"  onload="jscontent()">


<div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a>  <a href="chap1.html">1</a>  <a href="chap2.html">2</a>  <a href="chap3.html">3</a>  <a href="chap4.html">4</a>  <a href="chap5.html">5</a>  <a href="chap6.html">6</a>  <a href="chap7.html">7</a>  <a href="chap8.html">8</a>  <a href="chap9.html">9</a>  <a href="chap10.html">10</a>  <a href="chap11.html">11</a>  <a href="chap12.html">12</a>  <a href="chap13.html">13</a>  <a href="chapA.html">A</a>  <a href="chapB.html">B</a>  <a href="chapC.html">C</a>  <a href="chapBib.html">Bib</a>  <a href="chapInd.html">Ind</a>  </div>

<div class="chlinkprevnexttop"> <a href="chap0.html">[Top of Book]</a>   <a href="chap0.html#contents">[Contents]</a>    <a href="chap3.html">[Previous Chapter]</a>    <a href="chap5.html">[Next Chapter]</a>   </div>

<p id="mathjaxlink" class="pcenter"><a href="chap4_mj.html">[MathJax on]</a></p>
<p><a id="X7B222197819984A6" name="X7B222197819984A6"></a></p>
<div class="ChapSects"><a href="chap4.html#X7B222197819984A6">4 <span class="Heading">Ring Maps</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X7EBF1DD67BD0758F">4.1 <span class="Heading">Ring Maps: Attributes</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X7E7A0DE685E23202">4.1-1 KernelSubobject</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X82AE604486F48FC4">4.1-2 KernelEmb</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X7C7401BA7E2221CB">4.2 <span class="Heading">Ring Maps: Operations and Functions</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X870F43DE7DDD85A3">4.2-1 Kernel</a></span>
</div></div>
</div>

<h3>4 <span class="Heading">Ring Maps</span></h3>

<p><a id="X7EBF1DD67BD0758F" name="X7EBF1DD67BD0758F"></a></p>

<h4>4.1 <span class="Heading">Ring Maps: Attributes</span></h4>

<p><a id="X7E7A0DE685E23202" name="X7E7A0DE685E23202"></a></p>

<h5>4.1-1 KernelSubobject</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ KernelSubobject</code>( <var class="Arg">phi</var> )</td><td class="tdright">( attribute )</td></tr></table></div>
<p>Returns: a <strong class="pkg">homalg</strong> submodule</p>

<p>The kernel ideal of the ring map <var class="Arg">phi</var>.</p>

<p><a id="X82AE604486F48FC4" name="X82AE604486F48FC4"></a></p>

<h5>4.1-2 KernelEmb</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ KernelEmb</code>( <var class="Arg">phi</var> )</td><td class="tdright">( attribute )</td></tr></table></div>
<p>Returns: a <strong class="pkg">homalg</strong> map</p>

<p>The embedding of the kernel ideal <code class="code">Kernel</code><span class="SimpleMath">(</span><var class="Arg">phi</var><span class="SimpleMath">)</span> into the <code class="code">Source</code><span class="SimpleMath">(</span><var class="Arg">phi</var><span class="SimpleMath">)</span>, both viewed as modules over the ring <span class="SimpleMath">R :=</span><code class="code">Source</code><span class="SimpleMath">(</span><var class="Arg">phi</var><span class="SimpleMath">)</span> (cf. <code class="func">Kernel</code> (<a href="chap4.html#X870F43DE7DDD85A3"><span class="RefLink">4.2-1</span></a>)).</p>

<p><a id="X7C7401BA7E2221CB" name="X7C7401BA7E2221CB"></a></p>

<h4>4.2 <span class="Heading">Ring Maps: Operations and Functions</span></h4>

<p><a id="X870F43DE7DDD85A3" name="X870F43DE7DDD85A3"></a></p>

<h5>4.2-1 Kernel</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ Kernel</code>( <var class="Arg">phi</var> )</td><td class="tdright">( method )</td></tr></table></div>
<p>Returns: a <strong class="pkg">homalg</strong> module</p>

<p>The kernel ideal of the ring map <var class="Arg">phi</var> as an abstract module.</p>


<div class="chlinkprevnextbot"> <a href="chap0.html">[Top of Book]</a>   <a href="chap0.html#contents">[Contents]</a>    <a href="chap3.html">[Previous Chapter]</a>    <a href="chap5.html">[Next Chapter]</a>   </div>


<div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a>  <a href="chap1.html">1</a>  <a href="chap2.html">2</a>  <a href="chap3.html">3</a>  <a href="chap4.html">4</a>  <a href="chap5.html">5</a>  <a href="chap6.html">6</a>  <a href="chap7.html">7</a>  <a href="chap8.html">8</a>  <a href="chap9.html">9</a>  <a href="chap10.html">10</a>  <a href="chap11.html">11</a>  <a href="chap12.html">12</a>  <a href="chap13.html">13</a>  <a href="chapA.html">A</a>  <a href="chapB.html">B</a>  <a href="chapC.html">C</a>  <a href="chapBib.html">Bib</a>  <a href="chapInd.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>

99%


¤ Dauer der Verarbeitung: 0.11 Sekunden  (vorverarbeitet)  ¤

*© Formatika GbR, Deutschland




Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.