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<head><title>MonomialIdeal - MonomialIdeal -- monomial ideal difference</title>
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<div><h1>MonomialIdeal - MonomialIdeal -- monomial ideal difference</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>I - J</tt></div>
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<li><span>Operator: <a href="_-.html" title="a unary or binary operator, usually used for negation or subtraction">-</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>I</tt>, <span>a <a href="___Monomial__Ideal.html">monomial ideal</a></span></span></li>
<li><span><tt>J</tt>, <span>a <a href="___Monomial__Ideal.html">monomial ideal</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Monomial__Ideal.html">monomial ideal</a></span>, generated by those minimal generators of I which are not in J</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 = monomialIdeal(a^3,b^2,a*b*c)
3 2
o2 = monomialIdeal (a , b , a*b*c)
o2 : MonomialIdeal of R</pre>
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<tr><td><pre>i3 : J = monomialIdeal(a^2,b^3,a*b*c)
2 3
o3 = monomialIdeal (a , b , a*b*c)
o3 : MonomialIdeal of R</pre>
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<tr><td><pre>i4 : I - J
2
o4 = monomialIdeal(b )
o4 : MonomialIdeal of R</pre>
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<tr><td><pre>i5 : J - I
2
o5 = monomialIdeal(a )
o5 : MonomialIdeal of R</pre>
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<tr><td><pre>i6 : I - (I-J)
3
o6 = monomialIdeal (a , a*b*c)
o6 : MonomialIdeal of R</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="___Monomial__Ideal.html" title="the class of all monomial ideals handled by the engine">MonomialIdeal</a> -- the class of all monomial ideals handled by the engine</span></li>
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