<?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>tensor -- tensor product</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_tensor_lp__Module_cm__Module_rp.html">next</a> | <a href="_target_lp__Ring__Map_rp.html">previous</a> | <a href="_tensor_lp__Module_cm__Module_rp.html">forward</a> | <a href="_target_lp__Ring__Map_rp.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>tensor -- tensor product</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="single"><a href="_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">DegreeLift => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">DegreeMap => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">DegreeRank => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">Degrees => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">Global => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">Heft => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">Inverses => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">Join => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">Local => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">MonomialOrder => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">MonomialSize => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">SkewCommutative => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">VariableBaseName => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">Variables => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">Weights => ...</a>, -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html">WeylAlgebra => ...</a>, -- tensor product</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><p>This is the same as <tt>A ** B</tt> except that options are allowed. These optional arguments are only valid in the <a href="_tensor_lp__Ring_cm__Ring_rp.html" title="tensor product">tensor(Ring,Ring)</a> or <a href="_tensor_lp__Ring_cm__Ring_rp.html" title="tensor product">tensor(Monoid,Monoid)</a> cases.</p> </div> </div> <div class="waystouse"><h2>Ways to use <tt>tensor</tt> :</h2> <ul><li><span>tensor(CoherentSheaf,CoherentSheaf), see <span><a href="_tensor_lp__Module_cm__Module_rp.html" title="tensor product">tensor(Module,Module)</a> -- tensor product</span></span></li> <li><span><a href="_tensor_lp__Module_cm__Module_rp.html" title="tensor product">tensor(Module,Module)</a> -- tensor product</span></li> <li><span>tensor(Monoid,Monoid), see <span><a href="_tensor_lp__Ring_cm__Ring_rp.html" title="tensor product">tensor(Ring,Ring)</a> -- tensor product</span></span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring_rp.html" title="tensor product">tensor(Ring,Ring)</a> -- tensor product</span></li> <li><span><a href="_tensor_lp__Ring_cm__Ring__Map_cm__Matrix_rp.html" title="tensor product via a ring map">tensor(Ring,RingMap,Matrix)</a> -- tensor product via a ring map</span></li> <li><span>tensor(Ring,RingMap,Module), see <span><a href="_tensor_lp__Ring_cm__Ring__Map_cm__Matrix_rp.html" title="tensor product via a ring map">tensor(Ring,RingMap,Matrix)</a> -- tensor product via a ring map</span></span></li> <li><span>tensor(RingMap,Matrix), see <span><a href="_tensor_lp__Ring_cm__Ring__Map_cm__Matrix_rp.html" title="tensor product via a ring map">tensor(Ring,RingMap,Matrix)</a> -- tensor product via a ring map</span></span></li> <li><span>tensor(RingMap,Module), see <span><a href="_tensor_lp__Ring_cm__Ring__Map_cm__Matrix_rp.html" title="tensor product via a ring map">tensor(Ring,RingMap,Matrix)</a> -- tensor product via a ring map</span></span></li> </ul> </div> </div> </body> </html>