Generalization of ([e],[e]∨[c])-Ideals of BE-algebras

Year 2015, Volume: 3 Issue: 1, 1 - 11, 22.12.2014

Saleem Abdullah Ahmed Fawad Ali Muhammad S. Kamran Muhammad Aslam

https://izlik.org/JA37AA38ED

Abstract

In this paper, using N-structure, the notion of an N-ideal in a BE-algebra is introduced. To obtain a more general form ofan N-ideal, a point N-structure which is (k-conditionally) employed in an N-structure is proposed. Using these notions, the conceptof an ([e], [e]∨ [ck])-ideal is introduced and related properties are investigated. The notion ([e], [e]∨ [ck])-ideal is a generalization of([e], [e]∨ [c])-ideal. We derive some characterizations of ([e],[e] ∨ [ck])-ideals of BE-algebras

Keywords

BE-algebra , (Transitive , self distributive) BE-algebra , Ideal , N-ideal , ([e] , [e]∨ [ck])-ideal

Generalization of ([e], [e] ∨ [c])-Ideals of BE-algebras A. F. Ali1, S. Abdullah2and M. S. Kamran3and M. Aslam4 1Department of Basic Sciences, Riphah Internaional University, Islamabad, Pakistan. 2Department of Mathematics, Quaid-e-Aazam University, Islamabad, Pakistan. 3Department of Basic Sciences, Riphah Internaional University, Islamabad Pakistan 4Department of Mathematics, King Khlid University Saudi Arabia

https://izlik.org/JA37AA38ED

Abstract

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