Some results of topological rings

In this paper, we introduced several results of the topological ring. We proved that if N is a norm on the ring R, then any topology with matric space d which is defined by N is a topological ring. Also, if G is a topological group and N ≤ G, so the closure of N is also subgroup of G. Finally, we st...

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Bibliographic Details
Published inJournal of interdisciplinary mathematics Vol. 25; no. 6; pp. 1869 - 1873
Main Authors Manfe, Riyam K., Abed, Majid Mohammed
Format Journal Article
LanguageEnglish
Published Taylor & Francis 18.08.2022
Subjects
Open set
T2 - space
Topological group
Topological ring
Topological space
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Summary:In this paper, we introduced several results of the topological ring. We proved that if N is a norm on the ring R, then any topology with matric space d which is defined by N is a topological ring. Also, if G is a topological group and N ≤ G, so the closure of N is also subgroup of G. Finally, we study the relation between image of f and the quotient of R\Ker (f). We showed that the ideal concept is very important to understand the ring in this study. Also, we applied this concept by new way which is topological ideal over the topological ring.
ISSN:0972-0502
2169-012X
DOI:10.1080/09720502.2022.2052577