On bi-topological BCK-algebras

Volume 28, Issue 3, pp 306--315 http://dx.doi.org/10.22436/jmcs.028.03.08

Publication Date: June 26, 2022 Submission Date: April 19, 2022 Revision Date: May 18, 2022 Accteptance Date: May 28, 2022

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Authors

R. A. Mohammed - Department of Mathematics, College of Basic Education, University of Duhok, Kurdistan Region, Iraq. Gh. H. Rasheed - Department of Mathematics, College of Basic Education, University of Duhok, Kurdistan Region, Iraq. A. B. Khalaf - Department of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq.

Abstract

In this paper, we present the concept of bi-topological BCK-algebra. Several characterizations and properties of this concept are obtained. Also, the concept of BCK-ideal of a BCK-algebra is defined and some of its properties are found.

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Keywords

• BCK-algebra
• bi-topological BCK-algebra
• BCK-ideal

MSC

•  06F35
•  54B10
•  54A05

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