Opened modular numerical semigroups.
type: Item
instance of: scholarly article
title: Opened modular numerical semigroups.
zbMATH Open document ID: 1109.20052
author: J. M. Urbano-Blanco
author: José Carlos Rosales
published in: Journal of Algebra
publication date: 2007-01-11T00:00:00Z
review text: The authors introduce the class of the opened modular numerical semigroups and obtain formulas for the Frobenius number, the singularity degree and the type of these semigroups. This continues earlier work of the authors and García-Sánchez [see for instance \textit{J. C. Rosales, P. A. García-Sánchez, J. I. García-García, J. M. Urbano-Blanco}, J. Number Theory 103, No. 2, 281-294 (2003; Zbl 1039.20036); \textit{J. C. Rosales, J. M. Urbano-Blanco}, Semigroup Forum 72, No. 3, 362-374 (2006; Zbl 1103.20057)]. Furthermore, a characterization of irreducible proportionally modular numerical semigroups in terms of opened modular numerical semigroups is established.
reviewed by: Robert F. Tichy
Mathematics Subject Classification ID: 20M14
Mathematics Subject Classification ID: 11D75
Mathematics Subject Classification ID: 20M05
zbMATH DE Number: 5115344
zbMATH Keywords: modular Diophantine inequalities
zbMATH Keywords: numerical semigroups
zbMATH Keywords: Frobenius numbers
Wikidata QID: Q58842801
describes a project that uses: NumericalSemigroupsWithGenus
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2006.08.009
OpenAlex ID: W2076720414
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DOI: 10.1016/J.JALGEBRA.2006.08.009
description: scientific article; zbMATH DE number 5115344