Presentations for subsemigroups of finitely generated commutative semigroups
type: Item
instance of: scholarly article
title: Presentations for subsemigroups of finitely generated commutative semigroups
zbMATH Open document ID: 0943.20061
DOI: 10.1007/BF02780180
author: Pedro A. García Sánchez
author: José Carlos Rosales
published in: Israel Journal of Mathematics
publication date: 2000-06-13T00:00:00Z
review text: A good tool to study a finitely generated commutative semigroup \(T\) is the concept of presentation. However, a problem arises when we desire to study a subsemigroup \(S\) of \(T\), since \(S\) need not be finitely generated. In this interesting paper, the authors improve the concept of presentation by giving a new one, for subsemigroups \(S\) as above, which coincides with the classical one in the finitely generated case. Moreover, they prove that a cancellative (torsion free) subsemigroup of a finitely generated commutative subsemigroup can be embedded in a cancellative (torsion free) finitely generated commutative semigroup.
Mathematics Subject Classification ID: 20M14
Mathematics Subject Classification ID: 20M05
zbMATH DE Number: 1389711
zbMATH Keywords: subsemigroups
zbMATH Keywords: finitely generated commutative semigroups
zbMATH Keywords: cancellative semigroups
zbMATH Keywords: torsion-free semigroups
zbMATH Keywords: presentations
reviewed by: Carlos Galindo
Wikidata QID: Q58843122
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1389711