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

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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Publication Details

Journal
Contemporary Mathematics
Published
2025-03-05
DOI
https://doi.org/10.37256/cm.5220243798
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

CMWH-On Topological Structures on Γ-BCK-Algebras

Minseok Cheong, İsmail Ibedou, Dali Shi, K. Hur et al.
Contemporary Mathematics
Fuzzy and Soft Set Theory
article

CMWH-On Topological Structures on Γ-BCK-Algebras

Minseok Cheong, İsmail Ibedou, Dali Shi, K. Hur, Jong‐Il Baek
article en

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.

Contemporary Mathematics
Benha University (EG), Korea Aerospace University (KR), Wonkwang University (KR)
Openalex Percentile: Top 96%
Fuzzy and Soft Set Theory
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