Strongly Invo. T- Clean Rings

In this paper, we present the idea of a strongly invo. T-clean rings, which we define as rings with every a in R having the formula a = t + v, where t is a tripotent and v is an order two unit that commute. Such rings fundamental properties are given, and its connection with other related rings is o...

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Bibliographic Details
Main Authors: Rand Alneamy, Nazar Shuker
Format: Article
Language:English
Published: Mosul University 2024-06-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
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Online Access:https://csmj.mosuljournals.com/article_183915_99ad89f8a370a6d8d4784b51dbdae698.pdf
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Summary:In this paper, we present the idea of a strongly invo. T-clean rings, which we define as rings with every a in R having the formula a = t + v, where t is a tripotent and v is an order two unit that commute. Such rings fundamental properties are given, and its connection with other related rings is obtained. we consider a strongly Tri nil clean ring as a ring R with every element a in R can be expressed as a sum of a tripotent and a nilpotent that commute, and we explore the Jacobson radical over strongly Invo. T-clean ring.
ISSN:1815-4816
2311-7990