On pre-topological BCK-algebras
Publish place: The Journal of Algebra and Related Topics، Vol: 11، Issue: 1
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JART-11-1_007
تاریخ نمایه سازی: 21 تیر 1403
Abstract:
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.
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Authors
A. B. Khalaf
Department of Mathematics, University of Duhok, Duhok , Iraq
Nehmat Ahmed
Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq