Article
Version 2
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A Note on Invo-Regular Unital Rings
Version 1
: Received: 8 October 2023 / Approved: 9 October 2023 / Online: 9 October 2023 (11:07:57 CEST)
Version 2 : Received: 9 October 2023 / Approved: 10 October 2023 / Online: 10 October 2023 (11:55:51 CEST)
Version 3 : Received: 26 October 2023 / Approved: 26 October 2023 / Online: 26 October 2023 (11:32:25 CEST)
Version 4 : Received: 7 November 2023 / Approved: 8 November 2023 / Online: 8 November 2023 (09:53:50 CET)
Version 2 : Received: 9 October 2023 / Approved: 10 October 2023 / Online: 10 October 2023 (11:55:51 CEST)
Version 3 : Received: 26 October 2023 / Approved: 26 October 2023 / Online: 26 October 2023 (11:32:25 CEST)
Version 4 : Received: 7 November 2023 / Approved: 8 November 2023 / Online: 8 November 2023 (09:53:50 CET)
How to cite: Pandey, S.K. A Note on Invo-Regular Unital Rings. Preprints 2023, 2023100485. https://doi.org/10.20944/preprints202310.0485.v2 Pandey, S.K. A Note on Invo-Regular Unital Rings. Preprints 2023, 2023100485. https://doi.org/10.20944/preprints202310.0485.v2
Abstract
In this paper we provide some important and significant observations on invo-regular rings. This work improves some of the exiting results on invo-regular rings appeared in Ann. Univ. Mariae Curie-Sklodowska Sect. A Mathematica (2018). In addition we provide relations between strongly invo-regular rings and weakly tripotent rings and conclude that there does not exist a noncommutative strongly invo-regular ring.
Keywords
Boolean ring; unit regular ring; invo-regular ring; involution
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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