m-irreducible numerical semigroups

Authors :: Blanco, V.
Rosales, J. C.
Publication Year :: 2010
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.<br />Comment: 9 pages