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<head><title>GeneralOrderedMonoid -- the class of all ordered free commutative monoids</title>
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<div><h1>GeneralOrderedMonoid -- the class of all ordered free commutative monoids</h1>
<div class="single"><h2>Description</h2>
<div>This is the class of free monoids that can be handled by the <a href="_engine.html" title="">engine</a>.  Elements of such monoids are implemented as instances of <a href="___Monoid__Element.html" title="the class of all monoid elements">MonoidElement</a>.<p/>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_monoid.html" title="make or retrieve a monoid">monoid</a> -- make or retrieve a monoid</span></li>
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<div class="waystouse"><h2>Functions and methods returning a general ordered monoid :</h2>
<ul><li><span><a href="_monoid.html" title="make or retrieve a monoid">monoid</a> -- make or retrieve a monoid</span></li>
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<h2>Methods that use a general ordered monoid :</h2>
<ul><li><span>degreeLength(GeneralOrderedMonoid), see <span><a href="_degree__Length.html" title="the number of degrees">degreeLength</a> -- the number of degrees</span></span></li>
<li><span>degrees(GeneralOrderedMonoid), see <span><a href="_degrees_lp__Ring_rp.html" title="degrees of generators">degrees(Ring)</a> -- degrees of generators</span></span></li>
<li><span>degreesMonoid(GeneralOrderedMonoid), see <span><a href="_degrees__Monoid.html" title="get the monoid of degrees">degreesMonoid</a> -- get the monoid of degrees</span></span></li>
<li><span>degreesRing(GeneralOrderedMonoid), see <span><a href="_degrees__Ring_lp__Ring_rp.html" title="the ring of degrees">degreesRing(Ring)</a> -- the ring of degrees</span></span></li>
<li><span>describe(GeneralOrderedMonoid), see <span><a href="_describe.html" title="real description">describe</a> -- real description</span></span></li>
<li><span><tt>GeneralOrderedMonoid _*</tt> (missing documentation<!-- tag: (_*,GeneralOrderedMonoid) -->)</span></li>
<li><span><a href="_generators_lp__General__Ordered__Monoid_rp.html" title="list of generators">generators(GeneralOrderedMonoid)</a> -- list of generators</span></li>
<li><span><a href="_numgens_lp__General__Ordered__Monoid_rp.html" title="number of generators of a monoid">numgens(GeneralOrderedMonoid)</a> -- number of generators of a monoid</span></li>
<li><span>options(GeneralOrderedMonoid), see <span><a href="_options_lp__Monoid_rp.html" title="get values used for optional arguments">options(Monoid)</a> -- get values used for optional arguments</span></span></li>
<li><span><a href="_vars_lp__General__Ordered__Monoid_rp.html" title="row matrix of the variables">vars(GeneralOrderedMonoid)</a> -- row matrix of the variables</span></li>
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<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___General__Ordered__Monoid.html" title="the class of all ordered free commutative monoids">GeneralOrderedMonoid</a> is <span>a <a href="___Type.html">type</a></span>, with ancestor classes <a href="___Ordered__Monoid.html" title="the class of all ordered monoids">OrderedMonoid</a> &lt; <a href="___Monoid.html" title="the class of all monoids">Monoid</a> &lt; <a href="___Type.html" title="the class of all types">Type</a> &lt; <a href="___Mutable__Hash__Table.html" title="the class of all mutable hash tables">MutableHashTable</a> &lt; <a href="___Hash__Table.html" title="the class of all hash tables">HashTable</a> &lt; <a href="___Thing.html" title="the class of all things">Thing</a>.</p>
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