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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2025, Volume 35, Issue 1, Pages 47–74
DOI: https://doi.org/10.35634/vm250103 (Mi vuu912) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Rings whose non-invertible elements are weakly nil-clean

P. V. Dancheva, O. Hasanzadehb, A. Javanb, A. Moussavib

a Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria
b Tarbiat Modares University, 14115-111, Tehran Jalal AleAhmad Nasr, Iran
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DOI: https://doi.org/10.35634/vm250103
URL: http://vm.udsu.ru/issues/archive/issue/2025-1-3
Abstract: In regard to our recent studies of rings with (strongly, weakly) nil-clean-like properties, we explore in-depth both the structural and characterization properties of those rings whose elements that are not units are weakly nil-clean. Group rings of this sort are considered and described as well. This somewhat supplies our recent results of this branch when the units are weakly nil-clean published in Punjab University Journal of Mathematics (2024).
Keywords: idempotent, nilpotent, unit, weakly nil-clean ring
Funding agency Grant number
Consejería Economía, Innovación, Ciencia y Empleo, Junta de Andalucía FQM 264
Bonyad Meli Nokhbegan
The work of the first-named author, P.V. Danchev, is partially supported by the Junta de Andalucia, Grant FQM 264. All other three authors are supported by Bonyad Meli Nokhbegan and receive funds from this foundation.
Received: 17.05.2024
Accepted: 04.01.2025
Bibliographic databases:
Document Type: Article
UDC: 512.71
MSC: 16S34, 16U60
Language: English
Citation: P. V. Danchev, O. Hasanzadeh, A. Javan, A. Moussavi, “Rings whose non-invertible elements are weakly nil-clean”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 35:1 (2025), 47–74
Citation in format AMSBIB
\Bibitem{DanHasJav25}
\by P.~V.~Danchev, O.~Hasanzadeh, A.~Javan, A.~Moussavi
\paper Rings whose non-invertible elements are weakly nil-clean
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2025
\vol 35
\issue 1
\pages 47--74
\mathnet{http://mi.mathnet.ru/vuu912}
\crossref{https://doi.org/10.35634/vm250103}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=001457537200003}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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