A note on the group structure of unit regular ring elements

Robert E. Hartwig and Jiang Luh

Vol. 71 (1977), No. 2, 449–461

DOI: 10.2140/pjm.1977.71.449

Abstract

Local properties of unit regular ring elements are investigated. It is shown that an element of a ring R with unity is regular if and only if there exists a unit u ∈ R and a group G such that a ∈ uG.

Mathematical Subject Classification

Primary: 16A30, 16A30

Milestones

Received: 17 August 1976

Revised: 3 March 1977

Published: 1 August 1977