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Karpatsʹkì Matematičnì Publìkacìï
Article . 2019 . Peer-reviewed
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Karpatsʹkì Matematičnì Publìkacìï
Article
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zbMATH Open
Article . 2019
Data sources: zbMATH Open
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Characterizations of regular and intra-regular ordered $\Gamma$-semihypergroups in terms of bi-$\Gamma$-hyperideals

Characterizations of regular and intra-regular ordered \(\Gamma\)-semihypergroups in terms of bi-\(\Gamma\)-hyperideals
Authors: S. Omidi; B. Davvaz; K. Hila;

Characterizations of regular and intra-regular ordered $\Gamma$-semihypergroups in terms of bi-$\Gamma$-hyperideals

Abstract

The concept of $\Gamma$-semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of $\Gamma$-semigroups. In this paper, we study the notion of bi-$\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups and investigate some properties of these bi-$\Gamma$-hyperideals. Also, we define and use the notion of regular ordered $\Gamma$-semihypergroups to examine some classical results and properties in ordered $\Gamma$-semihypergroups.

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Keywords

упорядковані $\Gamma$-напівгіпергрупи, $\Gamma$-гіперідеали, bi-$\Gamma$-гіперідеали, \(\Gamma\)-hyperideal, bi-$\gamma$-hyperideal, Generalizations, ordered \(\Gamma\)-semihypergroup, $\gamma$-hyperideal, bi-\(\Gamma\)-hyperideal, ordered $\gamma$-semihypergroup, Ordered structures, QA1-939, ordered $\Gamma$-semihypergroup, $\Gamma$-hyperideal, bi-$\Gamma$-hyperideal, Hypergroups, Mathematics

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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!
6
Top 10%
Top 10%
Top 10%
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