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Discussiones Mathematicae - General Algebra and Applications
Article . 2013 . Peer-reviewed
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https://dx.doi.org/10.7151/dmg...
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Transformation semigroups associated to Γ-semigroups

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae - General Algebra and Applications, volume 33, page 249 (issn: 1509-9415, eissn: 2084-0373, Copyright policy )
Authors: Marzieh Amooshahi; Dariush Heidari;

doi: 10.7151/dmgaa.1204

Transformation semigroups associated to Γ-semigroups

Abstract

The concept of Γ-semigroups is a generalization of semigroups. In this paper, we associate two transformation semigroups to a Γ-semigroup and we call them the left and right transformation semigroups. We prove some relationships between the ideals of a Γ-semigroup and the ideals of its left and right transformation semigroups. Finally, we study some relationships between Green’s equivalence relations of a Γ-semigroup and its left (right) transformation semigroup.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Published in a Diamond OA journal