CCR-rings

Irving Kaplansky

Vol. 137 (1989), No. 1, 155–157

DOI: 10.2140/pjm.1989.137.155

Abstract

The class of CCR-rings is introduced, parallel to CCR-algebras in the theory of C^∗-algebras. It is proved that in a semisimple π-regular ring R there exists an idempotent e such that eRe is strongly regular.

Mathematical Subject Classification

Primary: 16A30, 16A30

Secondary: 16A32

Milestones

Received: 28 December 1987

Published: 1 March 1989