<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>minimalPresentation -- compute a minimal presentation</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_minimal__Presentation_lp__Ideal_rp.html">next</a> | <a href="___Minimal__Matrix.html">previous</a> | <a href="_minimal__Presentation_lp__Ideal_rp.html">forward</a> | <a href="___Minimal__Matrix.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>minimalPresentation -- compute a minimal presentation</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><tt>Exclude => ...</tt> (missing documentation<!-- tag: minimalPresentation(..., Exclude => ...) -->), </span></li> </ul> </div> </li> </ul> </div> <div><!--empty documentation body--></div> <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> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>minimalPresentation</tt> :</h2> <ul><li><span><a href="_minimal__Presentation_lp__Ideal_rp.html" title="compute a minimal presentation of the quotient ring defined by an ideal">minimalPresentation(Ideal)</a> -- compute a minimal presentation of the quotient ring defined by an ideal</span></li> <li><span><a href="_minimal__Presentation_lp__Matrix_rp.html" title="minimally present source and target of a matrix">minimalPresentation(Matrix)</a> -- minimally present source and target of a matrix</span></li> <li><span>minimalPresentation(ChainComplex), see <span><a href="_minimal__Presentation_lp__Module_rp.html" title="minimal presentation of a module">minimalPresentation(Module)</a> -- minimal presentation of a module</span></span></li> <li><span>minimalPresentation(ChainComplexMap), see <span><a href="_minimal__Presentation_lp__Module_rp.html" title="minimal presentation of a module">minimalPresentation(Module)</a> -- minimal presentation of a module</span></span></li> <li><span>minimalPresentation(CoherentSheaf), see <span><a href="_minimal__Presentation_lp__Module_rp.html" title="minimal presentation of a module">minimalPresentation(Module)</a> -- minimal presentation of a module</span></span></li> <li><span>minimalPresentation(GradedModule), see <span><a href="_minimal__Presentation_lp__Module_rp.html" title="minimal presentation of a module">minimalPresentation(Module)</a> -- minimal presentation of a module</span></span></li> <li><span>minimalPresentation(GradedModuleMap), see <span><a href="_minimal__Presentation_lp__Module_rp.html" title="minimal presentation of a module">minimalPresentation(Module)</a> -- minimal presentation of a module</span></span></li> <li><span><a href="_minimal__Presentation_lp__Module_rp.html" title="minimal presentation of a module">minimalPresentation(Module)</a> -- minimal presentation of a module</span></li> <li><span><a href="_minimal__Presentation_lp__Ring_rp.html" title="compute a minimal presentation of a quotient ring">minimalPresentation(Ring)</a> -- compute a minimal presentation of a quotient ring</span></li> </ul> </div> </div> </body> </html>