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

Abstract

Using N-structures, the notion of an N-ideal in a BE-algebra is introduced. Characterizations of an N-ideal are discussed. Conditions foran 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 areinvestigated. Characterizations of ([e], [e]∨[c])-ideals are discussed.