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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 2, Pages 257–273
DOI: https://doi.org/10.33048/smzh.2019.60.202 (Mi smj3074) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Strongly $q$-nil-clean rings

A. N. Abyzov

Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (358 kB) Citations (9)
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DOI: https://doi.org/10.33048/smzh.2019.60.202
Abstract: Under study are the rings whose every element is a sum of a nilpotent and a $q$-potent that commute with one another. We describe the rings whose every element is a sum of $k$ idempotents (for some $k\in\mathbb{N}$) and a nilpotent that commute with one another.
Keywords: clean rings, strongly clean rings, strongly $q$-nil-clean rings.
Funding agency Grant number
Russian Foundation for Basic Research 18-41-160024
The author was funded by the Russian Foundation for Basic Research (Grant 18-41-160024).
Received: 21.05.2018
Revised: 08.10.2018
Accepted: 17.10.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 2, Pages 197–208
DOI: https://doi.org/10.1134/S0037446619020022
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: A. N. Abyzov, “Strongly $q$-nil-clean rings”, Sibirsk. Mat. Zh., 60:2 (2019), 257–273; Siberian Math. J., 60:2 (2019), 197–208
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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