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On beta-topological rings | ||
Journal of Algebra and Related Topics | ||
دوره 9، شماره 1، شهریور 2021، صفحه 51-60 اصل مقاله (263.69 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2021.14595.1167 | ||
نویسندگان | ||
S. Billawria1؛ Sh. Sharma* 2 | ||
1Department of Mathematics, University of Jammu, Jammu, India. | ||
2Deptarment of Mathematics , University of Jammu, Jammu, India | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
beta-open sets؛ beta-closed sets؛ beta-topological ring؛ beta-continuous mappings | ||
آمار تعداد مشاهده مقاله: 696 تعداد دریافت فایل اصل مقاله: 754 |