On Filter of Cyclic B-Algebras

Abstract

This paper introduces the notion of a B-filter in a B-algebra (X, ∗, 0) and presents characteristics of its properties : for any a ∈ X, the set < a >B= {a k : k ∈ Z} form a B-ideal and B-filter of X. Moreover, this paper shown some properties of exponents on B-algebra.