On Regular Hypersemigroups
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Published:2020-04-29
Issue:2
Volume:13
Page:346-350
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Abstract
It is shown that an hypersemigroup (S, ◦) is regular if and only if the set of all quasi-ideals of S with the operation “∗†is a von Neumann regular semigroup. It is both regular and intra-regular if and only if the set of all quasi-ideals of S with the operation “∗†is a band.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science