m-irreducible numerical semigroups
Commutative Algebra
2010-06-18 v1 Combinatorics
Number Theory
Abstract
In this paper we introduce the notion of m-irreducibility that extends the standard concept of irreducibility of a numerical semigroup when the multiplicity is fixed. We analyze the structure of the set of m-irreducible numerical semigroups, we give some properties of these numerical semigroups and we present algorithms to compute the decomposition of a numerical semigroups with multiplicity m into m-irreducible numerical semigroups.
Cite
@article{arxiv.1006.3493,
title = {m-irreducible numerical semigroups},
author = {V. Blanco and J. C. Rosales},
journal= {arXiv preprint arXiv:1006.3493},
year = {2010}
}
Comments
9 pages;