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<div><a href="index.html" title="">Macaulay2Doc</a> > <a href="___Copyright_spand_splicense.html" title="">Copyright and license</a> > <a href="___Singular-__Libfac.html" title="">Singular-Libfac</a></div>
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<div><h1>Singular-Libfac</h1>
<div>With the kind permission of the author, Michael Messollen, Macaulay2 incorporates <tt>Singular-Libfac</tt>, version 3.1.1, a free library of routines, depending on <a href="___Singular-__Factory.html" title="">Singular-Factory</a>, that provides factorization of multivariate polynomials over finite fields and computation of the minimal associated primes of ideals via characteristic sets. It is distributed under the terms of the GNU General Public License (version 2 (see <a href="___C__O__P__Y__I__N__G.html" title="the Macaulay2 license agreement">COPYING</a>) or version 3), and is available at <a href="ftp://www.mathematik.uni-kl.de/pub/Math/Singular/Libfac">ftp://www.mathematik.uni-kl.de/pub/Math/Singular/Libfac</a> and at <a href="http://www.mathematik.uni-kl.de/ftp/pub/Math/Singular/SOURCES">http://www.mathematik.uni-kl.de/ftp/pub/Math/Singular/SOURCES</a>. It is part of <tt>Singular</tt>, whose home page is <a href="http://www.singular.uni-kl.de/">http://www.singular.uni-kl.de/</a>.<p/>
The following important routines call upon it:<ul><li><span><a href="_factor.html" title="factor a ring element or a ZZ-module">factor</a> -- factor a ring element or a ZZ-module</span></li>
<li><span><a href="_gcd.html" title="greatest common divisor">gcd</a> -- greatest common divisor</span></li>
<li><span><a href="_minimal__Primes.html" title="minimal associated primes of an ideal">minimalPrimes</a> -- minimal associated primes of an ideal</span></li>
<li><span><a href="_irreducible__Characteristic__Series.html" title="irreducible characteristic series of an ideal">irreducibleCharacteristicSeries</a> -- irreducible characteristic series of an ideal</span></li>
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