On the Representation of Finite Rings by Matrices over Commutative Rings

被引：0
|
作者：
Mekei A. [1 ]
机构：
[1] Institute of Mathematics, National University of Mongolia, Ulaanbaatar
来源：
Journal of Mathematical Sciences | 2014年 / 197卷 / 4期
关键词：
Commutative Ring; Identity Element; Associative Ring; Matrix Ring; Distinguished Basis;
D O I：
10.1007/s10958-014-1733-2
中图分类号：
学科分类号：
摘要：
In this paper, it is shown that all finite associative rings satisfying the identities nx = 0 and x 3 f(x) + x 2 = 0, where n is an odd natural number and f(x) ∈ ℤ[x], are embeddable in the ring of matrices over some suitable commutative ring. © 2014 Springer Science+Business Media New York.
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页码：548 / 557
页数：9
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