Disproof of Several Recently Published Results in Ring Theory

S K Pandey

doi:10.20944/preprints202310.0212.v2

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preprints.org > computer science and mathematics > algebra and number theory > doi: 10.20944/preprints202310.0212.v2

Preprint Short Note Version 2 Preserved in Portico This version is not peer-reviewed

Disproof of Several Recently Published Results in Ring Theory

S K Pandey

Version 1 : Received: 1 October 2023 / Approved: 4 October 2023 / Online: 4 October 2023 (05:28:47 CEST)
Version 2 : Received: 29 October 2023 / Approved: 30 October 2023 / Online: 1 November 2023 (02:37:41 CET)
Version 3 : Received: 3 November 2023 / Approved: 6 November 2023 / Online: 6 November 2023 (10:25:33 CET)

How to cite: Pandey, S.K. Disproof of Several Recently Published Results in Ring Theory. Preprints 2023, 2023100212. https://doi.org/10.20944/preprints202310.0212.v2 Pandey, S.K. Disproof of Several Recently Published Results in Ring Theory. Preprints 2023, 2023100212. https://doi.org/10.20944/preprints202310.0212.v2

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MDPI and ACS Style

Pandey, S.K. Disproof of Several Recently Published Results in Ring Theory. Preprints 2023, 2023100212. https://doi.org/10.20944/preprints202310.0212.v2

APA Style

Pandey, S.K. (2023). Disproof of Several Recently Published Results in Ring Theory. Preprints. https://doi.org/10.20944/preprints202310.0212.v2

Chicago/Turabian Style

Pandey, S.K. 2023 "Disproof of Several Recently Published Results in Ring Theory" Preprints. https://doi.org/10.20944/preprints202310.0212.v2

Abstract

In this note we consolidate and give a brief description of several recently published results in ring theory having disproof. These results have been published during 2016 to 2021 in the so called non-predatory reputed mathematical journals indexed in the well known database like Scopus. We have considered results on rings in which each element is a sum of two idempotents appeared in Canad. Math. Bull. (2016), weakly tripotent rings appeared in Bull. Korean Math. Soc. (2018) and Rendiconti Sem. Mat. Univ. Pol. Torino (2021), invo-regular unital rings appeared in Ann. Univ. Mariae Curie-Sklodowska Sect. A Mathematica (2018), locally invo-regular rings appeared in Azerbijan Journal of Mathematics (2021) and involution t-clean rings appeared in Eur. J. Pure Appl. Math (2022).

Keywords

ring theory; algebra; mathematics; disproof; counterexamples; involution t-clean ring, weakly tripotent ring

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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Comments (1)

Comment 1

Received: 1 November 2023
Commenter: S K Pandey
Commenter's Conflict of Interests: Author

Comment: More points have been added to explore the findings as well as an additional result has been included.

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