A Topology on a Hyper BCI-algebra Generated by a Hyper-order

Authors

  • Michelle Panganduyon Surigao State College of Technology
  • Sergio Rosales Canoy Jr. MSU-Iligan Institute of Technology
  • Bijan Davvaz Yadz University

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i2.3970

Keywords:

hyper BCI-algebra, topology, hyper order, hyperatom

Abstract

In this paper, we introduce an operator on a hyper BCI-algebra via application of a
left hyper-order. The family consisting of the images of subsets under the operator turns out to be a base for some topology on the hyper BCI-algebra. We investigate some important properties of the induced topology on certain hyper BCI-algebras. In particular, we show that the generated topology on a non-trivial hyper subalgebra of an ordered hyper BCI-algebra coincides with the relative topology on this hyper subalgebra.

Author Biographies

  • Michelle Panganduyon, Surigao State College of Technology
    Asst. Professor, College of Arts and Sciences
  • Sergio Rosales Canoy Jr., MSU-Iligan Institute of Technology

     

    Professor, Department of Mathematics and Statistics

  • Bijan Davvaz, Yadz University
    Professor, Department of Mathematics

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Published

2021-05-18

Issue

Vol. 14 No. 2: (April 2021)

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.

How to Cite

A Topology on a Hyper BCI-algebra Generated by a Hyper-order. (2021). European Journal of Pure and Applied Mathematics, 14(2), 590-600. https://doi.org/10.29020/nybg.ejpam.v14i2.3970