Another Look at Topological BCH-algebras

Authors

  • Jemil Mancao Mindanao State University - Iligan Institute of Technology
  • Sergio Canoy Mindanao State University - Iligan Institute of Technology

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i4.3842

Keywords:

BCH-algebra, topology, TBCH-algebra, separation axioms

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.

Author Biographies

Jemil Mancao, Mindanao State University - Iligan Institute of Technology

PhD Math student, Department of Mathematics and Statistics

Sergio Canoy, Mindanao State University - Iligan Institute of Technology

Professor, Department of Mathematics and Statistics

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Published

2020-10-31

How to Cite

Mancao, J., & Canoy, S. (2020). Another Look at Topological BCH-algebras. European Journal of Pure and Applied Mathematics, 13(4), 730–738. https://doi.org/10.29020/nybg.ejpam.v13i4.3842

Issue

Section

Nonlinear Analysis