Singular-Factory

With the kind permission of the authors of Singular, G.-M. Greuel, R. Stobbe, G. Pfister, H. Schoenemann, and J. Schmidt, University of Kaiserslautern, Macaulay 2 incorporates Singular-Factory, version 3.0.2, a free library of polynomial routines that provides for factorization of polynomials. It is distributed under the terms of the GNU General Public License and is available at ftp://www.mathematik.uni-kl.de/pub/Math/Singular/Factory and at http://www.mathematik.uni-kl.de/ftp/pub/Math/Singular/SOURCES. It is part of Singular, whose home page is http://www.singular.uni-kl.de/.

The following important routines call upon it:

• factor -- factor a ring element or a ZZ-module
• gcd -- greatest common divisor
• minimalPrimes -- minimal associated primes of an ideal
• irreducibleCharacteristicSeries -- irreducible characteristic series of an ideal