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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9.html#X813DF977812C06B6">9.5 <span class="Heading">Module Elements: Operations and Functions</span></a>
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<h3>9 <span class="Heading">Module Elements</span></h3>

<p>An element of a module <span class="SimpleMath">M</span> is internally represented byReturnscode="code>"falsepjava.lang.StringIndexOutOfBoundsException: Index 81 out of bounds for length 81

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<h4>9.1 <span class="Heading">Module Elements: Category and Representations</span></h4

<p><aspan="GAPinput"zz HomalgRingOfIntegers

<h5>9.1-1 IsHomalgElement</h5>

<div="func"><table="func ="00"<>

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<p>Returns: <code class="code">true</code> or ="&; < class=""> = HomalgElement( HomalgMap( "[[-1]]", 1 * Z4, 1 * Z4 ) );

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<h4>9.3 <span class="Heading">Module Elements: Properties</span><

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<h5>9.3-1 IsElementOfIntegers</h5>

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<p>Check ifthe <var="Arg"><var an element the integersviewed a module itself</>

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Returns: a pkg>homalg>ring>
<span class="GAPprompt">gap></span> <span class="GAPinput">zz := HomalgRingOfIntegers( );</span>
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<span class="GAPprompt">gap></span> <span class="GAPinput">IsElementOfIntegers( b );</span
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</pre></div>

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<h4>9.4 <span class="Heading">Module Elements: Attributes</span></h4>

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<h4>9.5 <span class="Heading">Module Elements: Operations and Functions</span></h4>

<p><a id="X8769077379997D89" name="X8769077379997D89"></a></p>

<h5>9.5-1 HomalgRing</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ HomalgRing</code>( <var class="Arg">m</var> )</td><td class="tdright">( operation )</td></tr></table></div>
<p>Returns: a <strong class="pkg">homalg</strong> ring</p>

<p>The <strong class="pkg">homalg</strong> ring of the <strong class="pkg">homalg</strong> module element <var class="Arg">m</var>.</p>

<div class="example"><pre>
<span class="GAPprompt">gap></span> <span class="GAPinput">zz := HomalgRingOfIntegers( );</span>
Z
<span class="GAPprompt">gap></span> <span class="GAPinput">a := HomalgElement( HomalgMap( "[[2]]", 1 * zz, 1 * zz ) );</span>
2
<span class="GAPprompt">gap></span> <span class="GAPinput">IsIdenticalObj( zz, HomalgRing( a ) );</span>
true
</pre></div>

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