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<head><title>saturate(..., MinimalGenerators => ...) -- whether to compute minimal generators</title>
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<div><h1>saturate(..., MinimalGenerators => ...) -- whether to compute minimal generators</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>saturate(...,MinimalGenerators=>b)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>b</tt>, <span>a <a href="___Boolean.html">Boolean value</a></span>, default is true</span></li>
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<li><div class="single">Consequences:<ul><li>If b is false, then the minimalization of the saturation will not be done</li>
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<div class="single"><h2>Description</h2>
<div>Sometimes the extra time to find the minimal generators is too large. This allows one to bypass this part of the computation.<table class="examples"><tr><td><pre>i1 : R = ZZ/101[x_0..x_4]
o1 = R
o1 : PolynomialRing</pre>
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<tr><td><pre>i2 : I = truncate(8, monomialCurveIdeal(R,{1,4,5,9}));
o2 : Ideal of R</pre>
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<tr><td><pre>i3 : time gens gb I;
-- used 0.041994 seconds
1 428
o3 : Matrix R <--- R</pre>
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<tr><td><pre>i4 : time J1 = saturate(I);
-- used 0.152977 seconds
o4 : Ideal of R</pre>
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<tr><td><pre>i5 : time J = saturate(I, MinimalGenerators=>false);
-- used 0.121982 seconds
o5 : Ideal of R</pre>
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<tr><td><pre>i6 : numgens J
o6 = 1002</pre>
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<tr><td><pre>i7 : numgens J1
o7 = 7</pre>
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<h2>Further information</h2>
<ul><li><span>Default value: <a href="_true.html" title="">true</a></span></li>
<li><span>Function: <span><a href="_saturate.html" title="saturation of ideal or submodule">saturate</a> -- saturation of ideal or submodule</span></span></li>
<li><span>Option name: <span><a href="___Minimal__Generators.html" title="">MinimalGenerators</a></span></span></li>
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<div class="single"><h2>Caveat</h2>
<div>Most of the time, you don't want to do this!</div>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_monomial__Curve__Ideal.html" title="make the ideal of a monomial curve">monomialCurveIdeal</a> -- make the ideal of a monomial curve</span></li>
<li><span><a href="_truncate.html" title="truncate the module at a specified degree">truncate</a> -- truncate the module at a specified degree</span></li>
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