<?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>gradedModule -- make a graded module</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Graded__Module_sp_st_st_sp__Chain__Complex.html">next</a> | <a href="___Graded__Module.html">previous</a> | <a href="___Graded__Module_sp_st_st_sp__Chain__Complex.html">forward</a> | <a href="___Graded__Module.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>gradedModule -- make a graded module</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>gradedModule v</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>v</tt>, <span>a <a href="___List.html">list</a></span>, a module, or a list or sequence of modules</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span>the graded module with the <tt>i</tt>-th element of <tt>v</tt> installed as its <tt>i</tt>-th component</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : gradedModule ZZ^2 2 o1 = 0 : ZZ o1 : GradedModule</pre> </td></tr> <tr><td><pre>i2 : gradedModule(ZZ^2,ZZ^3,ZZ^400) 2 o2 = 0 : ZZ 3 1 : ZZ 400 2 : ZZ o2 : GradedModule</pre> </td></tr> </table> If <tt>v</tt> is <span>a <a href="___Chain__Complex.html">chain complex</a></span> then the return value is the graded module underlying it.<table class="examples"><tr><td><pre>i3 : R = QQ[x,y] o3 = R o3 : PolynomialRing</pre> </td></tr> <tr><td><pre>i4 : C = res coker vars R 1 2 1 o4 = R <-- R <-- R <-- 0 0 1 2 3 o4 : ChainComplex</pre> </td></tr> <tr><td><pre>i5 : gradedModule C 1 o5 = 0 : R 2 1 : R 1 2 : R 3 : 0 o5 : GradedModule</pre> </td></tr> </table> </div> </div> <div class="waystouse"><h2>Ways to use <tt>gradedModule</tt> :</h2> <ul><li>gradedModule(ChainComplex)</li> <li>gradedModule(List)</li> <li>gradedModule(Module)</li> <li>gradedModule(Sequence)</li> </ul> </div> </div> </body> </html>