Another Look at Topological BCH-algebras

Abstract

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 â•: H ×H → H, defined by â•((x, y)) =x â•Â y for any x,y  in H, is continuous, where the Cartesian product topology on H × H is furnished by Ï„. In this paper, we give other structural properties of topological BCH-algebras.