In this paper, using N -structure, the notion of an N -ideal in a BE-algebra is introduced. 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 (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. ([e], [e]∨[c k ])-ideal is a generalized form of ([e], [e]∨ [c])-ideal. Characterizations of ([e], [e] ∨ [c k ])-ideals are discussed.
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