The concept of pre-open set in topological spaces was introduced by Mashhour \cite{ma} and the concept of BCK-algebras was defined by Iseki \cite{ise}. The aim of this paper is to supply the BCK-algebra by a topology that makes the operation defined on $X$ satisfy a special type of continuity with help of pre-open sets we call it p-topological BCK-algebra. This concept is an extension of the concept of topological BCK-algebra which was defined in \cite{dong}. By using properties of pre-open sets and axioms of BCK-algebras, several topological properties on BCK-algebras are found.
Khalaf, A. B., & Ahmed, N. (2023). On pre-topological BCK-algebras. Journal of Algebra and Related Topics, 11(1), 65-80. doi: 10.22124/jart.2023.22990.1439
MLA
A. B. Khalaf; Nehmat Ahmed. "On pre-topological BCK-algebras". Journal of Algebra and Related Topics, 11, 1, 2023, 65-80. doi: 10.22124/jart.2023.22990.1439
HARVARD
Khalaf, A. B., Ahmed, N. (2023). 'On pre-topological BCK-algebras', Journal of Algebra and Related Topics, 11(1), pp. 65-80. doi: 10.22124/jart.2023.22990.1439
VANCOUVER
Khalaf, A. B., Ahmed, N. On pre-topological BCK-algebras. Journal of Algebra and Related Topics, 2023; 11(1): 65-80. doi: 10.22124/jart.2023.22990.1439
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