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<head><title>ideal(List) -- make an ideal</title>
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<div><h1>ideal(List) -- make an ideal</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>ideal L</tt></div>
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<li><span>Function: <a href="_ideal.html" title="make an ideal">ideal</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>L</tt>, <span>a <a href="___List.html">list</a></span>, or a <a href="___Sequence.html">sequence</a> of <a href="___Ring__Element.html">ring elements</a></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>an <a href="___Ideal.html">ideal</a></span>, which is generated by the <a href="___List.html">list</a> or <a href="___Sequence.html">sequence</a> of <a href="___Ring__Element.html">ring elements</a></span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = ZZ/101[w,x,y,z];</pre>
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<tr><td><pre>i2 : ideal{x^2-w*y, x*y-w*z, x*z-y^2}
2 2
o2 = ideal (x - w*y, x*y - w*z, - y + x*z)
o2 : Ideal of R</pre>
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<tr><td><pre>i3 : ideal(y^2-x*z,x^2*y-z^2,x^3-y*z)
2 2 2 3
o3 = ideal (y - x*z, x y - z , x - y*z)
o3 : Ideal of R</pre>
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<tr><td><pre>i4 : E = ZZ/2[x,y, SkewCommutative => true];</pre>
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<tr><td><pre>i5 : ideal(x^2,x*y)
o5 = ideal (0, x*y)
o5 : Ideal of E</pre>
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<tr><td><pre>i6 : W = QQ[x,dx, WeylAlgebra => {x => dx}];</pre>
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<tr><td><pre>i7 : ideal(dx*x+x*dx)
o7 = ideal(2x*dx + 1)
o7 : Ideal of W</pre>
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<tr><td><pre>i8 : I = ideal(12,18)
o8 = ideal (12, 18)
o8 : Ideal of ZZ</pre>
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<tr><td><pre>i9 : mingens I
o9 = | 6 |
1 1
o9 : Matrix ZZ <--- ZZ</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="___Ideal.html" title="the class of all ideals">Ideal</a> -- the class of all ideals</span></li>
<li><span><a href="___Polynomial__Ring.html" title="the class of all ordered monoid rings">PolynomialRing</a> -- the class of all ordered monoid rings</span></li>
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