IRREDUCIBILITY IN THE SET OF NUMERICAL SEMIGROUPS WITH FIXED MULTIPLICITY-Reference-Cited by-同舟云学术

IRREDUCIBILITY IN THE SET OF NUMERICAL SEMIGROUPS WITH FIXED MULTIPLICITY

Published:2011-08 Issue:05 Volume:21 Page:731-744
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

BLANCO V.¹,ROSALES J. C.¹

Affiliation:

1. Departamento de Álgebra, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

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 semigroup with multiplicity m into m-irreducible numerical semigroups.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196711006492

Reference9 articles.

1. One-Dimensional Almost Gorenstein Rings

2. The value-semigroup of a one-dimensional Gorenstein ring

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