Rings over Which Matrices Are Sums of Idempotent and q-Potent Matrices

dc.contributor.author	Abyzov A.N.
dc.contributor.author	Tapkin D.T.
dc.date.accessioned	2022-02-09T20:32:06Z
dc.date.available	2022-02-09T20:32:06Z
dc.date.issued	2021
dc.identifier.issn	0037-4466
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/168820
dc.description.abstract	We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent matrix. We also show that if F is a finite field not isomorphic to F3 and q > 1 is odd then each square matrix over F is the sum of an idempotent matrix and a q-potent matrix if and only if q-1 is divisible by \|F\| - 1.
dc.relation.ispartofseries	Siberian Mathematical Journal
dc.subject	q -potent
dc.subject	512.55
dc.subject	Frobenius normal form
dc.subject	idempotent
dc.title	Rings over Which Matrices Are Sums of Idempotent and q-Potent Matrices
dc.type	Article
dc.relation.ispartofseries-issue	1
dc.relation.ispartofseries-volume	62
dc.collection	Публикации сотрудников КФУ
dc.source.id	SCOPUS00374466-2021-62-1-SID85100100986

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