Another Look at Topological BCH-algebras
Keywords:BCH-algebra, topology, TBCH-algebra, separation axioms
A BCH-algebra (H,Â â• ,0) furnishedÂ with a topology Ï„Â on H (alsoÂ called a BCH-topology on H) isÂ called a topological BCH-algebra (orÂ TBCH-algebra) if the functionÂ â•: H Ã—H â†’Â H, defined by â•((x, y)) =x â•Â y for any x,y Â in H, is continuous, where the Cartesian productÂ topology on H Ã—Â H is furnished by Ï„. In this paper, we give otherÂ structural properties of topological BCH-algebras.
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