On Weakly Tripotent and Locally Invo-Regular Rings

S K Pandey

doi:10.20944/preprints202310.0968.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 14 October 2023 / Approved: 16 October 2023 / Online: 16 October 2023 (12:34:04 CEST)
Version 2 : Received: 24 October 2023 / Approved: 25 October 2023 / Online: 25 October 2023 (09:56:55 CEST)

In this article some important observations have been reported on recent works related to weakly tripotent rings and locally invo-regular rings. Our findings give additional results as well as correct some recent results on weakly tripotent rings and locally invo-regular rings appeared in Rendiconti Sem. Mat. Univ. Pol. Torino (2021) and Azerbaijan Journal of Mathematics (2021) respectively. In addition we exhibit that if the Jacobson radical J(A) of a ring is strongly involution t-clean then the characteristic of J(A) need not be four. This finding improves an important result appeared in Eur. J. Pure Appl. Math (2022).

tripotent ring; weakly tripotent ring; locally invo-regular ring; involution t-clean ring

Computer Science and Mathematics, Algebra and Number Theory

Comment 1

Received: 25 October 2023
Commenter: S K Pandey
Commenter's Conflict of Interests: Author

Comment: Additional results have been added.

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On Weakly Tripotent and Locally Invo-Regular Rings

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