The Slice Algorithm For Irreducible Decomposition of Monomial Ideals

Details The Slice Algorithm For Irreducible Decomposition of Monomial Ideals The Slice Algorithm For Irreducible Decomposition of Monomial Ideals

2008-06-23

arxiv.org/abs/0806.3680v1

Journal of Symbolic Computation, Volume 44, Issue 4, April 2009, Pages 358-381

Mathematics

Commutative Algebra

25 pages, 8 figures. See http://www.broune.com/ for the data used

Scientific paper

10.1016/j.jsc.2008.08.002

Irreducible decomposition of monomial ideals has an increasing number of
applications from biology to pure math. This paper presents the Slice Algorithm
for computing irreducible decompositions, Alexander duals and socles of
monomial ideals. The paper includes experiments showing good performance in
practice.

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