Subdirect sum decompositions of endomorphism rings

John Joseph Hutchinson and Julius Martin Zelmanowitz

Vol. 47 (1973), No. 1, 129–134

DOI: 10.2140/pjm.1973.47.129

Abstract

The main result of this paper is that if a ring R is an essential subdirect sum of prime rings and M is a torsionless R-module, then the endomorphism ring of M is also an essential subdirect sum of prime rings.

Mathematical Subject Classification

Primary: 16A42

Milestones

Received: 13 March 1972

Revised: 27 September 1972

Published: 1 July 1973