关于贝塔拓扑环

Q4 Mathematics

Journal of Algebra and Related Topics Pub Date : 2021-06-01 DOI:10.22124/JART.2021.14595.1167

S. Billawria, Shallu Sharma

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引用次数: 0

摘要

本文利用-开集引入了拓扑环类的广义形式-拓扑环，它本身就是开集的广义形式。研究了-拓扑环的开(闭)集的平移和开(闭)集的可逆元的乘法。本文还给出了关于-拓扑环的其他一些有用的结果。给出了非拓扑环的非拓扑环的实例。我们进一步在续集中定义了具有统一的拓扑环，并给出了一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On beta-topological rings

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.

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来源期刊

Journal of Algebra and Related Topics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

16 weeks