On Topological Structures on Γ-<i>BCK</i>-Algebras

I. Ibedou; J. I Baek; D. L.  Shi; M.  Cheong; K. Hur

doi:10.37256/cm.5220243798

On Topological Structures on Γ-BCK-Algebras

Authors

I. Ibedou Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
J. I Baek School of Big Data and Financial Statistics, Wonkwang University, Korea https://orcid.org/0000-0003-4202-5823
D. L. Shi School of Big Data and Financial Statistics, Wonkwang University, Korea
M. Cheong School of Liberal Arts and Sciences, Korea Aerospace University, Korea
K. Hur Department of Applied Mathematics, Wonkwang University, Korea

DOI:

https://doi.org/10.37256/cm.5220243798

Keywords:

Γ-BCK-algebra, topological Γ-BCK-algebra, quotient Γ-BCK-algebra by Γ-ideals, topological quotient Γ- BCK-algebra, quotient Γ-BCK-algebra by dual Γ-ideals, uniform structure

Abstract

In this paper, we first study topological structures on Γ-BCK-algebras and obtain some of its properties. Next, we introduce the notion of quotient Γ-BCK-algebra by ideals and investigate some of topological properties on a quotient Γ-BCK-algebra. Finally, we define a quotient Γ-BCK-algebras by dual ideals of a Γ-BCK-algebra and give uniform structures on quotient Γ-BCK-algebras.

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Published

2025-03-05

How to Cite

Ibedou I, Baek JI, Shi DL, Cheong M, Hur K. On Topological Structures on Γ-<i>BCK</i>-Algebras. Contemp. Math. [Internet]. 2025 Mar. 5 [cited 2025 Mar. 9];6(2):1578-602. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/3798

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Issue

Contemporary Mathematics, Volume 6 Issue 2 (2025)

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.