Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A CHARACTERIZATION OF SEMIGROUPS THROUGH THEIR FUZZY GENERALIZED m-BI-IDEALS

  • Munir, Mohammad (Department of Mathematics, Government Postgraduate College) ;
  • Kausar, Nasreen (Department of Mathematics, Agriculture University) ;
  • Anjum, Rukhshanda (Department of Mathematics and Statistics, University of Lahore) ;
  • Ali, Asghar (Department of Mathematics Mirpur University of science and Technology (MUST)) ;
  • Hussain, Rashida (Department of Mathematics Mirpur University of science and Technology (MUST))
  • Received : 2020.08.13
  • Accepted : 2020.09.15
  • Published : 2020.09.30
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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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References

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