<?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>AffineVariety ** Ring -- a binary operator, usually used for tensor product or Cartesian product</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___After__Eval.html">next</a> | <a href="___Affine__Variety.html">previous</a> | <a href="___After__Eval.html">forward</a> | <a href="___Affine__Variety.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>AffineVariety ** Ring -- a binary operator, usually used for tensor product or Cartesian product</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>X ** R</tt></div> </dd></dl> </div> </li> <li><span>Operator: <a href="__st_st.html" title="a binary operator, usually used for tensor product or Cartesian product">**</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>X</tt>, <span>an <a href="___Affine__Variety.html">affine variety</a></span></span></li> <li><span><tt>R</tt>, <span>a <a href="___Ring.html">ring</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>an <a href="___Affine__Variety.html">affine variety</a></span>, the tensor product of <tt>X</tt> with <tt>R</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : X = Spec(QQ[x,y]) o1 = X o1 : AffineVariety</pre> </td></tr> <tr><td><pre>i2 : Y = X ** (QQ[t]) o2 = Y o2 : AffineVariety</pre> </td></tr> <tr><td><pre>i3 : describe Y o3 = Spec(QQ[x, y, t])</pre> </td></tr> </table> </div> </div> </div> </body> </html>