FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 7, PAGES 151-163

On the representation of finite rings by matrices over commutative rings

A. Mekei

Abstract

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In this paper, it is shown that all finite associative rings satisfying the identities $nx\; =\; 0$ and $x3f(x)\; +\; x2=\; 0$, where $n$ is an odd natural number and $f(x)$Î Z[x], are embeddable in the ring of matrices over some suitable commutative ring.

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Last modified: May 24, 2013