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

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 $m$...

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Veröffentlicht in:한국수학논문집, 28(3) 2020, 28(3), , pp.623-638
Hauptverfasser: Mohammad Munir, Nasreen Kausar, Rukhshanda Anjum, Asghar Ali, Rashida Hussain
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Sprache:eng
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Zusammenfassung: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. KCI Citation Count: 1
ISSN:1976-8605
2288-1433
DOI:10.11568/kjm.2020.28.3.623