English

The Slice Algorithm For Irreducible Decomposition of Monomial Ideals

Commutative Algebra 2009-03-03 v1 Combinatorics

Abstract

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.

Keywords

Cite

@article{arxiv.0806.3680,
  title  = {The Slice Algorithm For Irreducible Decomposition of Monomial Ideals},
  author = {Bjarke Hammersholt Roune},
  journal= {arXiv preprint arXiv:0806.3680},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T10:53:25.786Z