Ideal Theory of BE-Algebras Based on N-Structures  ABSTRACT  |  FULL TEXT

Year 2012, Volume: 41 Issue: 4, 435 - 447, 01.04.2012

Young Bae Jun  min Su Kang

Abstract

Using N-structures, the notion of an N-ideal in a BE-algebra is introduced. Characterizations of an N-ideal are discussed. Conditions for
an N-structure to be an N-ideal are provided. To obtain a more general form of an N-ideal, a point N-structure which is (conditionally)
employed in an N-structure is proposed. Using these notions, the concept of an ([e], [e]∨[c])-ideal is introduced, and related properties are
investigated. Characterizations of ([e], [e]∨[c])-ideals are discussed.

Keywords

(Transitive, Ideal, N-ideal, 2000 AMS Classification: 06 F 35

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