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On ordered Γ-semigroups (Γ-semigroups)

2014/03/05 by Niovi Kehayopulu, Kehayopulu, Niovi
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #Primary 06F99 #Secondary 06F05 #math.GM #msc:06F05 #msc:06F99 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1403.3002

arxiv created 2014/03/05 · openalex publication_date 2014/03/05 · arxiv updated 2014/03/13 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We add here some further characterizations to the characterizations of strongly regular ordered Γ-semigroups already considered in Hacettepe J. Math. 42 (2013), 559--567. Our results generalize the characterizations of strongly regular ordered semigroups given in the Theorem in Math. Japon. 48 (1998), 213--215, in case of ordered Γ-semigroups. The aim of writing this paper is not just to add a publication in Γ-semigroups but, mainly, as a continuation of the paper "On regular duo po-Γ-semigroups in Math. Slovaca 61 (2011), 871--884, to publish a paper which serves as an example to show what a Γ-semigroup is and give the right information about this structure.

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