<?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>commonRing -- find smallest containing ring</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_comodule.html">next</a> | <a href="_commonest.html">previous</a> | <a href="_comodule.html">forward</a> | <a href="_commonest.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>commonRing -- find smallest containing 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>commonRing v</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>v</tt>, a list of numbers, ring elements, matrices, or things with rings, see </span></li> <li><span><a href="_ring.html" title="get the associated ring of an object">ring</a></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___Ring.html">ring</a></span>, the smallest ring to which all members of the list can be promoted</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : commonRing {1,2/3} o1 = QQ o1 : Ring</pre> </td></tr> <tr><td><pre>i2 : commonRing {1,2.} o2 = RR 53 o2 : RealField</pre> </td></tr> <tr><td><pre>i3 : commonRing {1,2p100,matrix{{3p200}}} o3 = RR 100 o3 : RealField</pre> </td></tr> <tr><td><pre>i4 : R = RR[x];</pre> </td></tr> <tr><td><pre>i5 : commonRing {1,2p100,matrix{{3p200}},0_R} o5 = R o5 : PolynomialRing</pre> </td></tr> </table> </div> </div> <div class="waystouse"><h2>Ways to use <tt>commonRing</tt> :</h2> <ul><li>commonRing(List)</li> </ul> </div> </div> </body> </html>