A Characterization of Semigroups Through Their Fuzzy Generalized m-Bi Ideals

Kausar N.

KOREAN JOURNAL OF MATHEMATICS, vol.28, no.3, pp.623-638, 2020 (ESCI)

  • Publication Type: Article / Article
  • Volume: 28 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.11568/kjm.2020.28.3.623
  • Journal Name: KOREAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.623-638
  • Yıldız Technical University Affiliated: No

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 irre-ducible fuzyy generalized m-bi-ideals.