Semi-topological UP-algebras

Document Type : Research Paper

Authors

1 Department of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq.

2 Department of Mathematics, College of Basic Education, University of Duhok, Kurdistan Region, Iraq

Abstract

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.

Keywords

Journal of Algebra and Related Topics
Volume 9, Issue 2
December 2021
Pages 1-22

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