<?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>integralClosure -- integral closure of an ideal or a domain</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_integral__Closure_lp..._cm_sp__Keep_sp_eq_gt_sp..._rp.html">next</a> | <a href="___Index.html">previous</a> | <a href="_integral__Closure_lp..._cm_sp__Keep_sp_eq_gt_sp..._rp.html">forward</a> | <a href="___Index.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>integralClosure -- integral closure of an ideal or a domain</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="single"><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_integral__Closure_lp..._cm_sp__Keep_sp_eq_gt_sp..._rp.html">Keep => ...</a>, -- list ring generators which should not be simplified away</span></li> <li><span><a href="_integral__Closure_lp..._cm_sp__Limit_sp_eq_gt_sp..._rp.html">Limit => ...</a>, -- do a partial integral closure</span></li> <li><span><a href="_integral__Closure_lp..._cm_sp__Strategy_sp_eq_gt_sp..._rp.html">Strategy => ...</a>, -- control the algorithm used</span></li> <li><span><a href="_integral__Closure_lp..._cm_sp__Variable_sp_eq_gt_sp..._rp.html">Variable => ...</a>, -- set the base letter for the indexed variables introduced while computing the integral closure</span></li> <li><span><a href="_integral__Closure_lp..._cm_sp__Verbosity_sp_eq_gt_sp..._rp.html">Verbosity => ...</a>, -- display a certain amount of detail about the computation</span></li> </ul> </div> </li> </ul> </div> <div><!--empty documentation body--></div> <div class="waystouse"><h2>Ways to use <tt>integralClosure</tt> :</h2> <ul><li><span>integralClosure(Ideal), see <span><a href="_integral__Closure_lp__Ideal_cm__Z__Z_rp.html" title="integral closure of an ideal in an affine domain">integralClosure(Ideal,ZZ)</a> -- integral closure of an ideal in an affine domain</span></span></li> <li><span><a href="_integral__Closure_lp__Ideal_cm__Z__Z_rp.html" title="integral closure of an ideal in an affine domain">integralClosure(Ideal,ZZ)</a> -- integral closure of an ideal in an affine domain</span></li> <li><span><a href="_integral__Closure_lp__Ring_rp.html" title="compute the integral closure (normalization) of an affine domain">integralClosure(Ring)</a> -- compute the integral closure (normalization) of an affine domain</span></li> </ul> </div> </div> </body> </html>