<?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>liftable -- whether lifting to another ring is possible</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Limit.html">next</a> | <a href="_lift.html">previous</a> | <a href="___Limit.html">forward</a> | <a href="_lift.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>liftable -- whether lifting to another ring is possible</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>liftable(f,R)</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>f</tt>, <span>a <a href="___Ring__Element.html">ring element</a></span> or <span>a <a href="___Matrix.html">matrix</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>a <a href="___Boolean.html">Boolean value</a></span>, whether <tt>f</tt> can be lifted to the ring <tt>R</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div>The ring <tt>R</tt> should be one of the base rings associated with the ring of <tt>f</tt>.<table class="examples"><tr><td><pre>i1 : R = ZZ[x] o1 = R o1 : PolynomialRing</pre> </td></tr> <tr><td><pre>i2 : liftable ((x-1)*(x+1)-x^2, ZZ) o2 = true</pre> </td></tr> </table> <table class="examples"><tr><td><pre>i3 : liftable(3/4,ZZ) o3 = false</pre> </td></tr> <tr><td><pre>i4 : liftable((3/4)*4,ZZ) o4 = true</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_lift.html" title="lift to another ring">lift</a> -- lift to another ring</span></li> <li><span><a href="_base__Rings.html" title="store the list of base rings of a ring">baseRings</a> -- store the list of base rings of a ring</span></li> </ul> </div> </div> </body> </html>