\(n\)-ary \(\Gamma\)-semigroups, operators and Green's relations.
type: Item
instance of: scholarly article
title: \(n\)-ary \(\Gamma\)-semigroups, operators and Green's relations.
zbMATH Open document ID: 1325.20057
author: Bijan Davvaz
author: Dariush Heidari
published in: Afrika Matematika
publication date: 2014-11-17T00:00:00Z
review text: The notion of \(n\)-ary \(\Gamma\)-semigroup (\(n\)-ary \(\Gamma\)-group) as a natural generalization of \(n\)-ary semigroup (\(n\)-ary group) and \(\Gamma\)-semigroup (\(\Gamma\)-group) is introduced and studied. Many examples and some basic properties are obtained. Further, the concepts of Green's equivalence relations on an \(n\)-ary \(\Gamma\)-semigroup and the operators of an \(n\)-ary \(\Gamma\)-semigroup are defined and investigated.
Mathematics Subject Classification ID: 20N15
Mathematics Subject Classification ID: 20M99
zbMATH DE Number: 6369950
zbMATH Keywords: \(n\)-ary semigroups
zbMATH Keywords: \(n\)-ary \(\Gamma\)-semigroups
zbMATH Keywords: \(n\)-ary \(\Gamma\)-groups
zbMATH Keywords: Green relations
MaRDI profile type: Publication
full work available at URL: s13370-013-0158-2
OpenAlex ID: W2461898535
cites work: Right orthodox \(\Gamma\)-semigroup.
cites work: Q3511987
cites work: Q3848243
cites work: On (n,m)-quotient rings
cites work: Q3039587
cites work: Orthodox \(\Gamma\)-semigroups
cites work: On the structure of semigroups
cites work: On regular, semiprime and quasi-reflexive \(\Gamma\)-semigroup and minimal quasi-ideals.
cites work: Q3512181
cites work: Q4550468
cites work: Q3781934
cites work: Q3735955
cites work: Q5488295
cites work: Q4323274
cites work: On the Ideal Extensions in Γ-Semigroups
cites work: Q4788139
DOI: 10.1007/S13370-013-0158-2
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description: scientific article; zbMATH DE number 6369950