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<head><title>FlatMonoid</title>
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<div><h1>FlatMonoid</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>R.FlatMonoid</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>R</tt>, <span>a <a href="___Polynomial__Ring.html">polynomial ring</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___General__Ordered__Monoid.html">general ordered monoid</a></span>, the flattened monoid in terms of which the polynomials are expressed when the coefficient ring of R is itself a polynomial ring</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = QQ[a,b][x]
o1 = R
o1 : PolynomialRing</pre>
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<tr><td><pre>i2 : R.FlatMonoid
o2 = [x, a..b, Degrees => {{1}, 2:{0}}, Heft => {2:1}, MonomialOrder => {MonomialSize => 32}, DegreeRank => 2]
{0} {1} {GRevLex => {1} }
{Position => Up }
{GRevLex => {2:1} }
o2 : GeneralOrderedMonoid</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_flatten__Ring.html" title="write a ring as a (quotient) of a polynomial ring over ZZ or a prime field">flattenRing</a> -- write a ring as a (quotient) of a polynomial ring over ZZ or a prime field</span></li>
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<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___Flat__Monoid.html" title="">FlatMonoid</a> is <span>a <a href="___Symbol.html">symbol</a></span>.</p>
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