ON IDEALS AND UPPER SETS IN BE-ALGEBRAS

抄録

In this paper, the idea of ideals of BE-algebras is introduced and several descriptions of ideals are given in terms of upper sets A(u, v) = {z ∈ X|u ∗ (v ∗ z) = 0} for transitive and for self distributive BE-algebras (X; ∗, 1) of type (2, 0).