Another Look at Topological BCH-algebras

Jemil Mancao, Sergio Canoy

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 ⁕: H ×H → H, defined by ⁕((x, y)) =x ⁕ y for any x,y  in 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.

Keywords

BCH-algebra; topology; TBCH-algebra; separation axioms

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