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.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k117/k11708h.htm

Last modified: May 24, 2013