Another Look at Topological BCH-algebras.

A BCH-algebra (H, *, 0) furnished with a topology τ on H (also called a BCH-topology on H) is called a topological BCH-algebra (or TBCH-algebra) if the function *: H × H → H, defined by *((x, y)) = x * y for any x, y ∊ H, is continuous, where the Cartesian product topology on H × H is furnished by τ. In this paper, we give other structural properties of topological BCH-algebras. [ABSTRACT FROM AUTHOR]