MMN-4850
Generalized Stonean BE-algebras
M. Sambasiva Rao; Arsham Borumand Saeid;Abstract
In this paper, the notion of generalized Stonean BE-algebras is introduced. A set
of equivalent conditions is given for every quasi-complemented BE-algebra to become
a generalized Stonean BE-algebra. A necessary and suficient condition is derived for a self-distributive and commutative BE-algebra to become a generalized Stonean BE-algebra. The concept of Stonean filters is introduced and then generalized Stonean
BE-algebras are characterized by Stonean filters. The notion of hyper Stonean BE-
algebras is introduced and then a characterization theorem in terms of prime filters
is given.
Vol. 26 (2025), No. 1, pp. 501-516