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On pre-topological BCK-algebras | ||
| Journal of Algebra and Related Topics | ||
| دوره 11، شماره 1، شهریور 2023، صفحه 65-80 اصل مقاله (341.15 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2023.22990.1439 | ||
| نویسندگان | ||
| A. B. Khalaf* 1؛ Nehmat Ahmed2 | ||
| 1Department of Mathematics, University of Duhok, Duhok , Iraq | ||
| 2Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| $T_i$ spaces ($i=0, 1,2)$؛ algebras؛ continuity | ||
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