On the generators of a generalized numerical semigroup-Reference-Cited by-同舟云学术

On the generators of a generalized numerical semigroup

Published:2019-03-01 Issue:1 Volume:27 Page:49-59
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
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Author:

Cisto Carmelo¹,Failla Gioia²,Utano Rosanna¹

Affiliation:

1. Universitá di Messina , Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra , Viale Ferdinando Stagno D’Alcontres 31, 98166 Messina , Italy

2. Universitá Mediterranea di Reggio Calabria , Dipatimento DIIES, Via Graziella , Feo di Vito, Reggio Calabria , Italy .

Abstract

Abstract We give a characterization on the sets A ⊆ ℕ d such that the monoid generated by A is a generalized numerical semigroup (GNS) in ℕ d . Furthermore we give a procedure to compute the hole set ℕ d \ S, where S is a GNS, if a finite set of generators of S is known.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0003

Reference10 articles.

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3. [3] Failla, G., Peterson, C., Utano, R.: Algorithms and basic asymptotics for generalized numerical semigroups in ℕd, Semigroup Forum 92(2), 460–473 (2016).

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