FILTERS OF BE-ALGEBRAS WITH RESPECT TO A CONGRUENCE
Mukkamala Sambasiva Rao · Journal of applied mathematics & informatics · 2016
Some properties of filters are studied with respect to a congru-ence of BE-algebras. The notion of θ-filters is introduced and these classes of filters are then characterized in terms of congruence classes. A bijection is obtained between the set of all θ-filters of a BE-algebra and the set of all filters of the respective BE-algebra of congruences classes.