Another Look at Topological BCH-algebras
DOI:
https://doi.org/10.29020/nybg.ejpam.v13i4.3842Keywords:
BCH-algebra, topology, TBCH-algebra, separation axiomsAbstract
A BCH-algebra (H, ╠,0) furnished with a topology Ï„Â 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.
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