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Characterization of regular semigroup by (∈, ∈∨(k*, q_k))-fuzzy ideals

Muhammad Sajjad Ali Khan|Saleem Abdullah|Khaista Rahman|Syed Zaheer Abbas
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2017.03|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제13권 제3호|pp. 403-419|DOI 10.30948/afmi.2017.13.3.403

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참고문헌

키워드

(∈∈∨(k*q_k))-fuzzy (generalized) bi-idealsq_k))-fuzzy interior idealsq_k))-fuzzy quasi-ideals

초록

In this article we define the notion of (∈, ∈∨(k*, q_k))-fuzzy left (right) ideals, (∈, ∈∨(k*, q_k))-fuzzy (generalized) bi-ideals, (∈, ∈∨(k*, q_k))-fuzzy interior ideals and (∈, ∈∨(k*, q_k))-fuzzy quasi-ideals in semigroups. Finally we characterized regular semigroup by the properties of these ideals.

Abstract

In this article we define the notion of (∈, ∈∨(k*, q_k))-fuzzy left (right) ideals, (∈, ∈∨(k*, q_k))-fuzzy (generalized) bi-ideals, (∈, ∈∨(k*, q_k))-fuzzy interior ideals and (∈, ∈∨(k*, q_k))-fuzzy quasi-ideals in semigroups. Finally we characterized regular semigroup by the properties of these ideals.

참고문헌 (20)

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