Group presentations for a class of radical rings of matrices

Author

Noelle Antony, Clare Coleman and David Easdown

Status

Research Report 2001-13
Date: 16 November 2001

Abstract

In this paper we assemble some facts about radical rings which arise by sandwich multiplication using a Jacobson radical element. We find a group presentation for the Munn ring consisting of n times n matrices over Z_{p^k}, where p is prime, which employs a scalar sandwich matrix where the scalar is from p Z_{p^k} , regarded as a group with respect to the circle operation.

Key phrases

group presentations. radical rings of matrices. sandwich multiplication.

AMS Subject Classification (1991)

Primary: 16N20
Secondary: 16U60, 15A33, 20F05, 20H25

Content

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