Preprint Article Version 4 Preserved in Portico This version is not peer-reviewed

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)

How to cite: Pandey, S.K. A Note on Invo-Regular Unital Rings. Preprints 2023, 2023100485. https://doi.org/10.20944/preprints202310.0485.v4 Pandey, S.K. A Note on Invo-Regular Unital Rings. Preprints 2023, 2023100485. https://doi.org/10.20944/preprints202310.0485.v4

Abstract

In this paper we provide some important and significant observations on invo-regular rings appeared in Ann. Univ. Mariae Curie-Sklodowska Sect. A Mathematica (2018). In addition we exhibit that strongly invo-regular rings, invo-regular rings and quasi invo-regular rings all coincide with the well known and well characterized tripotent rings and all these rings further coincide with the well known unit regular rings.

Keywords

Boolean ring; unit regular ring; invo-regular ring; tripotent ring, quasi invo-regular ring, strongly invo-regular ring, weakly tripotent ring

Subject

Computer Science and Mathematics, Algebra and Number Theory

Comments (1)

Comment 1
Received: 8 November 2023
Commenter: S K Pandey
Commenter's Conflict of Interests: Author
Comment: This is a revised version with additional results and facts.
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