<?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>isMonomialIdeal -- whether something is a monomial ideal</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_is__Open.html">next</a> | <a href="_is__Module.html">previous</a> | <a href="_is__Open.html">forward</a> | <a href="_is__Module.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>isMonomialIdeal -- whether something is a monomial ideal</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>isMonomialIdeal I</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>I</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>I</tt> is either a <a href="___Monomial__Ideal.html">monomial ideal</a> or an <a href="___Ideal.html">ideal</a> generated by monomials 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 : QQ[w,x,y,z];</pre> </td></tr> <tr><td><pre>i2 : I = minors(2, matrix{{w,x,y},{x,y,z}}) 2 2 o2 = ideal (- x + w*y, - x*y + w*z, - y + x*z) o2 : Ideal of QQ[w, x, y, z]</pre> </td></tr> <tr><td><pre>i3 : isMonomialIdeal I o3 = false</pre> </td></tr> <tr><td><pre>i4 : J = ideal leadTerm I 2 2 o4 = ideal (y , x*y, x ) o4 : Ideal of QQ[w, x, y, z]</pre> </td></tr> <tr><td><pre>i5 : isMonomialIdeal J o5 = true</pre> </td></tr> <tr><td><pre>i6 : K = monomialIdeal I 2 2 o6 = monomialIdeal (x , x*y, y ) o6 : MonomialIdeal of QQ[w, x, y, z]</pre> </td></tr> <tr><td><pre>i7 : isMonomialIdeal K o7 = true</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_monomial__Ideal.html" title="make a monomial ideal">monomialIdeal</a> -- make a monomial ideal</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>isMonomialIdeal</tt> :</h2> <ul><li>isMonomialIdeal(Ideal)</li> <li>isMonomialIdeal(MonomialIdeal)</li> <li>isMonomialIdeal(Thing)</li> </ul> </div> </div> </body> </html>