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Matematicheskie Zametki, 2017, Volume 101, Issue 2, Pages 163–168
DOI: https://doi.org/10.4213/mzm10939 (Mi mzm10939) 		 
This article is cited in 21 scientific papers (total in 21 papers)

On Some Matrix Analogs of the Little Fermat Theorem

A. N. Abyzov, I. I. Mukhametgaliev

Kazan (Volga Region) Federal University
Full-text PDF (438 kB) Citations (21) English version article
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DOI: https://doi.org/10.4213/mzm10939
Abstract: The rings over which every square matrix is representable as a sum of a nilpotent matrix and a $q$-potent matrix, where $q$ is a positive integer power of a prime, are studied. As consequences, matrix analogs of the little Fermat theorem are obtained.
Keywords: nil clean rings, regular rings, little Fermat theorem.
Received: 12.10.2015
English version:
Mathematical Notes, 2017, Volume 101, Issue 2, Pages 187–192
DOI: https://doi.org/10.1134/S0001434617010229
Bibliographic databases:
Document Type: Article
UDC: 512.552
Language: Russian
Citation: A. N. Abyzov, I. I. Mukhametgaliev, “On Some Matrix Analogs of the Little Fermat Theorem”, Mat. Zametki, 101:2 (2017), 163–168; Math. Notes, 101:2 (2017), 187–192
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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