On beta-topological rings

Document Type : Research Paper

Authors

1 Department of Mathematics, University of Jammu, Jammu, India.

2 Deptarment of Mathematics , University of Jammu, Jammu, India

Abstract

In this paper, we introduce a generalized form of the class of topological
rings, namely -topological rings by using -open sets which itself is a generalized form
of open sets. Translation of open(closed) sets and multiplication by invertible elements
of open(closed) sets of the -topological rings are investigated. Some other useful results
on -topological rings are also given. Examples of -topological rings which fails to be
topological rings are also provided. We further de ne -topological rings with unity in the
sequel and presented some results on it.

Keywords

Journal of Algebra and Related Topics
Volume 9, Issue 1
June 2021
Pages 51-60

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