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

Downloads

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

Vol. 13 No. 4: (October 2020)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.