<?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>setMaxIdeal -- set the maximal ideal for local ring methods</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div>next | <a href="_residue__Map.html">previous</a> | forward | <a href="_residue__Map.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>setMaxIdeal -- set the maximal ideal for local ring methods</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>setMaxIdeal I</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>I</tt>, <span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, a maximal ideal of the ring R</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, same ideal as input</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div>The function adds new structure to the ring which specifies a maximal ideal which allows the user to employ local ring methods.<table class="examples"><tr><td><pre>i1 : R = ZZ/32003[x,y,z,w,SkewCommutative=>true] o1 = R o1 : PolynomialRing</pre> </td></tr> <tr><td><pre>i2 : setMaxIdeal(ideal(x,y,z,w)) o2 = ideal (x, y, z, w) o2 : Ideal of R</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_local__Complement.html" title="find the splitting of the target of a map">localComplement</a> -- find the splitting of the target of a map</span></li> <li><span><a href="_localsyz.html" title="find syzygies">localsyz</a> -- find syzygies</span></li> <li><span><a href="_local__Mingens.html" title="finds a minimal set of generators">localMingens</a> -- finds a minimal set of generators</span></li> <li><span><a href="_local__Modulo.html" title="find the pre-image (pullback) of image of a map over a local ring">localModulo</a> -- find the pre-image (pullback) of image of a map over a local ring</span></li> <li><span><a href="_local__Prune.html" title="find a minimal presentation">localPrune</a> -- find a minimal presentation</span></li> <li><span><a href="_local__Resolution.html" title="find a resolution over a local ring">localResolution</a> -- find a resolution over a local ring</span></li> <li><span><tt>residueMap</tt> (missing documentation<!-- tag: residueMap -->)</span></li> <li><span><tt>maxIdeal</tt> (missing documentation<!-- tag: maxIdeal -->)</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>setMaxIdeal</tt> :</h2> <ul><li>setMaxIdeal(Ideal)</li> </ul> </div> </div> </body> </html>