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<div><h1>mingens -- minimal generator matrix</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="single"><a href="_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="___Complement.html">Strategy => ...</a>, </span></li>
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<div class="single"><h2>Description</h2>
<div>Every ideal and module in Macaulay2 comes equipped with a generating set, which is sometimes a larger generating set than is required. This routine returns a matrix whose columns generate the given ideal or module.</div>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_trim.html" title="minimize generators and relations">trim</a> -- minimize generators and relations</span></li>
<li><span><a href="_minimal__Presentation.html" title="compute a minimal presentation">minimalPresentation</a> -- compute a minimal presentation</span></li>
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<div class="waystouse"><h2>Ways to use <tt>mingens</tt> :</h2>
<ul><li><span><a href="_mingens_lp__Groebner__Basis_rp.html" title="(partially constructed) minimal generator matrix">mingens(GroebnerBasis)</a> -- (partially constructed) minimal generator matrix</span></li>
<li><span>mingens(Ideal), see <span><a href="_mingens_lp__Module_rp.html" title="minimal generator matrix">mingens(Module)</a> -- minimal generator matrix</span></span></li>
<li><span><a href="_mingens_lp__Module_rp.html" title="minimal generator matrix">mingens(Module)</a> -- minimal generator matrix</span></li>
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