Rings with x<sup>n</sup>+ x or x<sup>n</sup>- X nilpotent

dc.contributor.author	Abyzov A.N.
dc.contributor.author	Danchev P.V.
dc.contributor.author	Tapkin D.T.
dc.date.accessioned	2022-02-09T20:33:19Z
dc.date.available	2022-02-09T20:33:19Z
dc.date.issued	2021
dc.identifier.issn	0219-4988
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/168975
dc.description.abstract	Let R be a ring and let n be an arbitrary but fixed positive integer. We characterize those rings R whose elements a satisfy at least one of the relations that an + a or an - a is a nilpotent whenever n ϵN\{1}. This extends results from the same branch obtained by Danchev [A characterization of weakly J(n)-rings, J. Math. Appl. 41 (2018) 53-61], Koşan et al. [Rings with xn - x nilpotent, J. Algebra Appl. 19 (2020)] and Abyzov and Tapkin [On rings with xn - x nilpotent, J. Algebra Appl. 21 (2022)], respectively.
dc.relation.ispartofseries	Journal of Algebra and its Applications
dc.subject	Fields
dc.subject	Jacobson radical
dc.subject	Nilpotents
dc.subject	Polynomials
dc.subject	Rings
dc.title	Rings with x<sup>n</sup>+ x or x<sup>n</sup>- X nilpotent
dc.type	Article
dc.collection	Публикации сотрудников КФУ
dc.source.id	SCOPUS02194988-2021-SID85118494624

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.