On Quotient KS-semigroups Induced by Fuzzy KS-ideals

Authors

  • Hulsen Sarapuddin MSU-Iligan Institute of Technology
  • Jocelyn Vilela MSU-Iligan Institute of Technology

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6327

Keywords:

quotient KS-semigroups, congruence relation, fuzzy KS-ideals, fuzzy KS-p-ideals, fuzzy (commutative, implicative) KS-ideals

Abstract

 In this paper, we introduce some types of fuzzy ideals on KS-semigroups, compare their relationships with the existing fuzzy KS-ideals and investigate their properties. We discuss the construction of quotient KS-semigroups induced by fuzzy KS-ideals, show that this quotient structure is a generalization of the existing quotient structure and prove properties of this generalized structure. Moreover, we investigate the quotient structure of product KS-semigroups via fuzzy KS-ideals.

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Published

2025-08-01

Issue

Section

Algebra

How to Cite

On Quotient KS-semigroups Induced by Fuzzy KS-ideals. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6327. https://doi.org/10.29020/nybg.ejpam.v18i3.6327