Representation of some finite rings by matrices over commutative rings

A. Mekei, L. Oyuuntsetseg

The Institute of Mathematics, National University of Mongolia, Ulan Bator, Mongolia

Abstract: 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.

Keywords: Galois ring, subdirectly irreducible ring, variety of associative rings, representation of finite rings by matrices over commutative rings.

UDC: 512.552.4

Received: 17.05.2014
Revised: 10.06.2014

 English version: Algebra and Logic, 2014, 53:4, 287–297

Bibliographic databases:

• 
• 
•