IDEAL THEORY OF BE-ALGEBRAS BASED ON N-STRUCTURES

Using N-structures, the notion of an N-ideal in a BE-algebra is intro-duced. Characterizations of an N-ideal are discussed. Conditions foran N-structure to be an N-ideal are provided. To obtain a more gen-eral form of an N-ideal, a point N-structure which is (conditionally)employed in an N-structure is proposed. Using these notions, the con-cept of an ([e], [e] V[c])-ideal is introduced, and related properties areinvestigated. Characterizations of ([e], [e] É[c])-ideals are discussed.