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Intuitionistic Fuzzy Semiprime Ideals of a Semigroups

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.3, pp.139-151
Ahn, Tae-Chon
Hur, Kul
Kang, Hak-Soo

Abstract

We introduce the concept of intuitionistic fuzzy semiprimality of a semigroup which is an extension of semiprimality in it. And we obtain a characterization of a semigroup that is a semilattice of simple semigroups in terms of intuitionistic fuzzy semiprime interior ideals.

keywords
intuitionisic fuzzy bi-ideal, intuitionistic fuzzy interior ideal, intuitionistic fuzzy semiprime, intraregular semigroup, semilattice of simple semigroups

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics