<?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>ChainComplex _ ZZ = Thing -- install component of chain complex</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Chain__Complex_sp__Array.html">next</a> | <a href="___Chain__Complex_sp_us_sp__Z__Z.html">previous</a> | <a href="___Chain__Complex_sp__Array.html">forward</a> | <a href="___Chain__Complex_sp_us_sp__Z__Z.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>ChainComplex _ ZZ = Thing -- install component of chain complex</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>C_i = M</tt></div> </dd></dl> </div> </li> <li><span>Operator: <a href="__us.html" title="a binary operator, used for subscripting and access to elements">_</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>C</tt>, <span>a <a href="___Chain__Complex.html">chain complex</a></span></span></li> <li><span><tt>i</tt>, <span>an <a href="___Z__Z.html">integer</a></span></span></li> <li><span><tt>M</tt>, <span>a <a href="___Thing.html">thing</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span>install <tt>M</tt> as the <tt>i</tt>-th module of the chain complex <tt>C</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : R = ZZ[x..z] o1 = R o1 : PolynomialRing</pre> </td></tr> <tr><td><pre>i2 : C = chainComplex R o2 = 0 o2 : ChainComplex</pre> </td></tr> <tr><td><pre>i3 : C_2 = R^11 11 o3 = R o3 : R-module, free</pre> </td></tr> <tr><td><pre>i4 : C_4 = R^13 13 o4 = R o4 : R-module, free</pre> </td></tr> <tr><td><pre>i5 : C 11 13 o5 = R <-- 0 <-- R 2 3 4 o5 : ChainComplex</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="___Chain__Complex__Map_sp_us_sp__Z__Z_sp_eq_sp__Thing.html" title="install component of chain complex map">ChainComplexMap _ ZZ = Thing</a> -- install component of chain complex map</span></li> </ul> </div> </div> </body> </html>