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<head><title>isPrimary -- determine whether an ideal is primary</title>
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<div><h1>isPrimary -- determine whether an ideal is primary</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>isPrimary Q</tt><br/><tt>isPrimary(Q,P)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>Q</tt>, <span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, an ideal to be checked for being primary</span></li>
<li><span><tt>P</tt>, <span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, the <a href="../../Macaulay2Doc/html/_radical.html" title="the radical of an ideal">radical</a> of <tt>Q</tt></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___Boolean.html">Boolean value</a></span>, <a href="../../Macaulay2Doc/html/_true.html" title="">true</a> if <tt>Q</tt> is primary, <a href="../../Macaulay2Doc/html/_false.html" title="">false</a> otherwise</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : Q = ZZ/101[x,y,z]
o1 = Q
o1 : PolynomialRing</pre>
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<tr><td><pre>i2 : isPrimary ideal(y^6)
o2 = true</pre>
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<tr><td><pre>i3 : isPrimary(ideal(y^6), ideal(y))
o3 = true</pre>
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<tr><td><pre>i4 : isPrimary ideal(x^4, y^7)
o4 = true</pre>
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<tr><td><pre>i5 : isPrimary ideal(x*y, y^2)
o5 = false</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_primary__Decomposition.html" title="irredundant primary decomposition of an ideal">primaryDecomposition</a> -- irredundant primary decomposition of an ideal</span></li>
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<div class="waystouse"><h2>Ways to use <tt>isPrimary</tt> :</h2>
<ul><li>isPrimary(Ideal)</li>
<li>isPrimary(Ideal,Ideal)</li>
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