Korean J. Math. Vol. 28 No. 3 (2020) pp.623-638
DOI: https://doi.org/10.11568/kjm.2020.28.3.623

A characterization of semigroups through their fuzzy generalized $m$-bi-ideals

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Published: Sep 30, 2020
Keywords:
20M17, 20M12.
Mathematics Subject Classification:
Fuzzy generalized $m$-bi-ideals, Strongly prime generalized $m$-bi-ideals, Semiprime generalized $m$-bi-ideals.

Main Article Content

Mohammad Munir
Department of Mathematics, Government Postgraduate College Abbottabad, Pakistan.
Nasreen Kausar
Department of Mathematics, Agriculture University Faisalabad, Pakistan.
Rukhshanda Anjum
Department of Mathematics and Statistics, University of Lahore Lahore, Pakistan.
Asghar Ali
Department of Mathematics Mirpur University of science and Technology (MUST) Mirpur-10250 (AJK), Pakistan
Rashida Hussain
Department of Mathematics Mirpur University of science and Technology (MUST) Mirpur-10250 (AJK), Pakistan

Abstract

In this article, we initially present the concept of the fuzzy generalized $m$-bi-ideals in semigroups, then making use of their important types like prime, semiprime and strongly fuzzy generalized $m$-bi-ideals, we give the important characterizations of the semigroups. We also characterize the $m$-regular and $m$-intraregular semigroups using the properties of the irreducible and strongly irreducible fuzyy generalized $m$-bi-ideals.



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