On Ordered Regular Semigroups with a Zero Element

Document Type : Original Scientific Paper

Author

Department of Mathematics, College of Science, Sultan Qaboos University, Muscat, Oman

Abstract

 In this paper, we study several conditions on ordered regular semigroups containing a zero element. In particular, we consider the natural and semigroup order and their connections to the properties of being principally ordered, Dubreil-Jacotin and BZS. We study also the set of biggest inverses in such a semigroup and we characterize subalgebras generated by two comparable idempotents.

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References

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Mathematics Interdisciplinary Research
Volume 7, Issue 2
June 2022
Pages 165-178

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