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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 7, Pages 151–163
(Mi fpm1461)
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This article is cited in 1 scientific paper (total in 1 paper)
On the representation of finite rings by matrices over commutative rings
A. Mekei National University of Mongolia
Abstract:
In this paper, it is shown that all finite associative rings satisfying the identities $nx=0$ and $x^3f(x)+x^2=0$, where $n$ is an odd natural number and $f(x)\in\mathbb Z[x]$, are embeddable in the ring of matrices over some suitable commutative ring.
Citation:
A. Mekei, “On the representation of finite rings by matrices over commutative rings”, Fundam. Prikl. Mat., 17:7 (2012), 151–163; J. Math. Sci., 197:4 (2014), 548–557
Linking options:
https://www.mathnet.ru/eng/fpm1461 https://www.mathnet.ru/eng/fpm/v17/i7/p151
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Abstract page: | 281 | Full-text PDF : | 133 | References: | 43 | First page: | 1 |
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