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Matematika
Article . 2017 . Peer-reviewed
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Convex ordered Gamma-semihypergroups associated to strongly regular relations

descriptionPublicationkeyboard_double_arrow_right Article 27 Dec 2017Publisher:Penerbit UTM PressJournal:MATEMATIKA (issn: 0127-8274, eissn: 0127-9602, Copyright policy )
Authors: Bijan Davvaz; Saber Omidi;

doi: 10.11113/matematika.v33.n2.838

Convex ordered Gamma-semihypergroups associated to strongly regular relations

Abstract

In this study, we introduce and investigate the notion of convex ordered Gamma-semihypergroups associated to strongly regular relations. Afterwards, we prove that if sigma is a strongly regular relation on a convex ordered Gamma-semihypergroup, then the quotient set is an ordered Gamma-sigma-semigroup. Also, some results on the product of convex ordered Gamma-semihypergroups are given. As an application of the results of this paper, the corresponding results of ordered semihypergroups are also obtained by moderate modifications.

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citations
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!
4
Average
Average
Average
gold