Matrix rings over polynomial identity rings. II

Elizabeth Berman

Vol. 58 (1975), No. 1, 37–41

DOI: 10.2140/pjm.1975.58.37

Abstract

If A is a ring satisfying a polynomial identity, what identity is satisfied by the matrix ring A_n ? Theorem: If A satisfies the standard identity of degree k, then A_n satisfies the standard identity of degree 2kn² − n² + 1.

Mathematical Subject Classification

Primary: 16A38

Milestones

Received: 1 July 1974

Published: 1 May 1975