<?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>fittingIdeal -- Fitting ideal of a module</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_flag__Lookup.html">next</a> | <a href="_firstkey.html">previous</a> | <a href="_flag__Lookup.html">forward</a> | <a href="_firstkey.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>fittingIdeal -- Fitting ideal of a module</h1> <div class="single"><h2>Description</h2> <div><tt>fittingIdeal(i,M)</tt> -- the i-th Fitting ideal of the module M<p/> <table class="examples"><tr><td><pre>i1 : R = ZZ/101[x];</pre> </td></tr> <tr><td><pre>i2 : k = coker vars R o2 = cokernel | x | 1 o2 : R-module, quotient of R</pre> </td></tr> <tr><td><pre>i3 : M = R^3 ++ k^5;</pre> </td></tr> <tr><td><pre>i4 : fittingIdeal(3,M) 5 o4 = ideal(x ) o4 : Ideal of R</pre> </td></tr> <tr><td><pre>i5 : fittingIdeal(8,M) o5 = ideal 1 o5 : Ideal of R</pre> </td></tr> </table> </div> </div> <div class="waystouse"><h2>Ways to use <tt>fittingIdeal</tt> :</h2> <ul><li>fittingIdeal(ZZ,Module)</li> </ul> </div> </div> </body> </html>