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This article is cited in 18 scientific papers (total in 18 papers)
On Some Matrix Analogs of the Little Fermat Theorem
A. N. Abyzov, I. I. Mukhametgaliev Kazan (Volga Region) Federal University
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
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
Linking options:
https://www.mathnet.ru/eng/mzm10939https://doi.org/10.4213/mzm10939 https://www.mathnet.ru/eng/mzm/v101/i2/p163
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