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

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