<?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>graphIdeal(RingMap) -- the ideal of the graph of the regular map corresponding to a ring map</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_graph__Ring_lp__Ring__Map_rp.html">next</a> | <a href="_kernel_spand_spimage_spof_spa_spring_spmap.html">previous</a> | <a href="_graph__Ring_lp__Ring__Map_rp.html">forward</a> | <a href="_kernel_spand_spimage_spof_spa_spring_spmap.html">backward</a> | <a href="_substitution_spand_spmaps_spbetween_springs.html">up</a> | <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> <div><a href="index.html" title="">Macaulay2Doc</a> > <a href="_substitution_spand_spmaps_spbetween_springs.html" title="">substitution and maps between rings</a> > <a href="_graph__Ideal_lp__Ring__Map_rp.html" title="the ideal of the graph of the regular map corresponding to a ring map">graphIdeal(RingMap)</a></div> <hr/> <div><h1>graphIdeal(RingMap) -- the ideal of the graph of the regular map corresponding to a ring map</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>graphIdeal f</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_graph__Ideal_lp__Ring__Map_rp.html" title="the ideal of the graph of the regular map corresponding to a ring map">graphIdeal</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>f</tt>, <span>a <a href="___Ring__Map.html">ring map</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>an <a href="___Ideal.html">ideal</a></span>, the ideal of the graph of regular map corresponding to <tt>f</tt></span></li> </ul> </div> </li> <li><div class="single"><a href="_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><tt>MonomialOrder => </tt><span><span>default value {GRevLex, Position => Up}</span>, a monomial ordering, see <a href="_monomial_sporderings.html" title="">monomial orderings</a></span></span></li> <li><span><tt>MonomialSize => </tt><span><span>an <a href="___Z__Z.html">integer</a></span>, <span>default value 32</span>, the monomial size, see <a href="___Monomial__Size.html" title="name for an optional argument">MonomialSize</a></span></span></li> <li><span><tt>VariableBaseName => </tt><span><span>a <a href="___Symbol.html">symbol</a></span>, <span>default value p</span>, the variable base name, see <a href="_monoid.html" title="make or retrieve a monoid">VariableBaseName</a></span></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : R = QQ[x,y] o1 = R o1 : PolynomialRing</pre> </td></tr> <tr><td><pre>i2 : S = QQ[s,t,u] o2 = S o2 : PolynomialRing</pre> </td></tr> <tr><td><pre>i3 : f = map(R,S,{x^2,x*y,y^2}) 2 2 o3 = map(R,S,{x , x*y, y }) o3 : RingMap R <--- S</pre> </td></tr> <tr><td><pre>i4 : graphIdeal f 2 2 o4 = ideal (- p + p , - p p + p , - p + p ) 0 2 0 1 3 1 4 o4 : Ideal of QQ[p , p , p , p , p ] 0 1 2 3 4</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_graph__Ring_lp__Ring__Map_rp.html" title="the coordinate ring of the graph of the regular map corresponding to a ring map">graphRing</a> -- the coordinate ring of the graph of the regular map corresponding to a ring map</span></li> </ul> </div> </div> </body> </html>