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<head><title>comodule -- submodule to quotient module</title>
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<div><h1>comodule -- submodule to quotient module</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>comodule M</tt><br/><tt>quotient M</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>M</tt>, <span>a <a href="___Module.html">module</a></span>, or an <a href="___Ideal.html">ideal</a></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Module.html">module</a></span>, If M is given as a submodule I ⊂Nwhere N is either a free module or a quotient, then the module N/I is returned.</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = QQ[a..d];</pre>
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<tr><td><pre>i2 : I = ideal(a,b,c,d^3);
o2 : Ideal of R</pre>
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<tr><td><pre>i3 : comodule I
o3 = cokernel | a b c d3 |
1
o3 : R-module, quotient of R</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_image.html" title="image of a map">image</a> -- image of a map</span></li>
<li><span><a href="_cokernel.html" title="cokernel of a map of modules, graded modules, or chaincomplexes">cokernel</a> -- cokernel of a map of modules, graded modules, or chaincomplexes</span></li>
<li><span><a href="_kernel.html" title="kernel of a ringmap, matrix, or chain complex">kernel</a> -- kernel of a ringmap, matrix, or chain complex</span></li>
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<div class="waystouse"><h2>Ways to use <tt>comodule</tt> :</h2>
<ul><li>comodule(Ideal)</li>
<li>comodule(Module)</li>
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