Some ordered hypersemigroups which enter their properties into their σ-classes
Publish place: Journal of Hyperstructures، Vol: 6، Issue: 0
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JHSMS-6-0_003
تاریخ نمایه سازی: 16 بهمن 1402
Abstract:
An important problem in the theory of ordered hypersemigroups is to describe the ordered hypersemigroups which enter their properties into their σ-classes. In this respect, we prove the following: If H is a regular, left (right) regular, completely regular, intra-regular, left (right) quasi-regular, semisimple, k regular, archimedean, weakly commutative, left (right) simple, simple, left (right) strongly simple ordered semigroup and σ a complete semilattice congruence on H then, for each a ∈ H, the σ-class (a)σ of H is, respectively, so.
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Authors
Niovi Kehayopulu
Department of Mathematics, University of Athens, P.O.Box ۱۶۷۸۴, Athens, Greece