Short Note
Version 3
Preserved in Portico This version is not peer-reviewed
Disproof of Several Recently Published Results in Ring Theory
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)
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.v3 Pandey, S.K. Disproof of Several Recently Published Results in Ring Theory. Preprints 2023, 2023100212. https://doi.org/10.20944/preprints202310.0212.v3
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), involution t-clean rings appeared in Eur. J. Pure Appl. Math (2022) and strongly 2-nil clean rings with units of order two appeared in Eur. J. Pure Appl. Math (2023).
Keywords
ring theory; algebra; mathematics; disproof; counterexamples; involution t-clean ring; weakly tripotent ring; invo-regular ring; locally invo-regular ring; strongly 2-nil clean ring; strongly nil clean 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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