On beta-topological rings
Publish place: The Journal of Algebra and Related Topics، Vol: 9، Issue: 1
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JART-9-1_004
تاریخ نمایه سازی: 31 تیر 1403
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 dene -topological rings with unity in the sequel and presented some results on it.
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Authors
S. Billawria
Department of Mathematics, University of Jammu, Jammu, India.
Sh. Sharma
Deptarment of Mathematics , University of Jammu, Jammu, India