<?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>isPolynomialRing -- whether someting is a polynomial ring</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_is__Prime.html">next</a> | <a href="_is__Output__File_lp__File_rp.html">previous</a> | <a href="_is__Prime.html">forward</a> | <a href="_is__Output__File_lp__File_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>isPolynomialRing -- whether someting is a polynomial ring</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>isPolynomialRing R</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>R</tt>, <span>a <a href="___Thing.html">thing</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___Boolean.html">Boolean value</a></span>, <a href="_true.html" title="">true</a> if <tt>R</tt> is a <a href="___Polynomial__Ring.html">polynomial ring</a> and <a href="_false.html" title="">false</a> otherwise</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : isPolynomialRing CC o1 = false</pre> </td></tr> <tr><td><pre>i2 : isPolynomialRing(ZZ/7[x,y]) o2 = true</pre> </td></tr> <tr><td><pre>i3 : isPolynomialRing(QQ[x,dx, WeylAlgebra => {x => dx}]) o3 = true</pre> </td></tr> <tr><td><pre>i4 : isPolynomialRing(GF(2)[x,y, SkewCommutative => true]) o4 = true</pre> </td></tr> <tr><td><pre>i5 : isPolynomialRing(ZZ/101[x,y,z]/(x^2-y*z)) o5 = false</pre> </td></tr> </table> </div> </div> <div class="waystouse"><h2>Ways to use <tt>isPolynomialRing</tt> :</h2> <ul><li>isPolynomialRing(PolynomialRing)</li> <li>isPolynomialRing(Thing)</li> </ul> </div> </div> </body> </html>