On images of polynomials in finite matrix rings

V. V. Kulyamin

M. V. Lomonosov Moscow State University

Abstract: We study the images of polynomials in non-commuting indeterminates in the ring of $2\times2$ matrices over a Galois ring. The main result: a set of $2\times2$ matrices over a Galois ring whose radical has nilpotency index 2, is an image of a polynomial with zero constant term if and only if it contains 0 and is self-conjugate.

UDC: 512.552.1

Received: 01.12.1995

Bibliographic databases:

• 
•