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Semi-topological UP-algebras | ||
| Journal of Algebra and Related Topics | ||
| دوره 9، شماره 2، اسفند 2021، صفحه 1-22 اصل مقاله (309.8 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2021.18760.1249 | ||
| نویسندگان | ||
| A. B. Khalaf* 1؛ M. A. Yousef2 | ||
| 1Department of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq. | ||
| 2Department of Mathematics, College of Basic Education, University of Duhok, Kurdistan Region, Iraq | ||
| چکیده | ||
| The aim of this paper is to study the concept of semi-topological UP-algebras which is a UP-algebra supplied with a certain type of topology that makes the binary operation defined on it semi-topologically continuous. This concept is a generalization of the concept of topological UP-algebra. We obtain several properties of semi-topological UP-algebras . Furthermore, we introduce and study the concepts of semi(resp., s, irresolute)-topological UP-homomorphisms and some topological structures on certain types of UP-algebras. | ||
| کلیدواژه‌ها | ||
| UP-algebra؛ topological UP-algebra؛ semi (resp؛ s؛ irresolute)-topological UP-homomorphism | ||
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