REPRESENTATION OF SOME FINITE RINGS BY MATRICES OVER COMMUTATIVE RINGS

被引：0
|
作者：
Mekei, A. [1 ]
Oyuuntsetseg, L. [1 ]
机构：
[1] Natl Univ Mongolia, Inst Math, Ulaanbaatar, Mongolia
来源：
ALGEBRA AND LOGIC | 2014年 / 53卷 / 04期
关键词：
Galois ring; subdirectly irreducible ring; variety of associative rings; representation of finite rings by matrices over commutative rings;
D O I：
10.1007/s10469-014-9291-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a complete description of subdirectly irreducible finite associative rings with commuting nilpotent elements. Also it is proved that a finite ring the nilpotent elements of which commute is representable by matrices over a commutative ring.
引用
收藏
页码：287 / 297
页数：11
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