Some essential bi-ideals and essential fuzzy bi-ideals in a semigroup

Volume 28, Issue 4, pp 326--334 http://dx.doi.org/10.22436/jmcs.028.04.02

Publication Date: July 11, 2022 Submission Date: October 04, 2021 Revision Date: April 10, 2022 Accteptance Date: June 04, 2022

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Authors

N. Panpetch - Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand. T. Muangngao - Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand. T. Gaketem - Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand.

Abstract

In this paper, we give the concepts of essential bi-ideals and essential fuzzy bi-ideals in semigroups. In the main results, we characterized regular, left regular, intra-regular, semisimple semigroups in terms of essential fuzzy ideals and essential fuzzy bi-ideals in semigroups.

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Keywords

• Essential bi-ideals
• minimal bi-ideals
• essential minimal bi-ideals
• essential fuzzy minimal bi-ideals

MSC

•  16Y60
•  08A72
•  03G25
•  03E72