Topological rings with property (Y )

Willard Ellis Baxter

Vol. 30 (1969), No. 3, 563–571

DOI: 10.2140/pjm.1969.30.563

Abstract

This paper continues the study of Jordan ideals of the symmetric elements, S, of a 2-torsion free semiprime ring, A, with 2A = A. Previous results assuming proper involution, as well as the annihilator condition on certain right ideals in topological rings with property (Y ), are shown to be too restrictive. Finally, it is shown that every Jordan ideal of S either contains an idempotent, or is contained in the annihilator of the socle.

Mathematical Subject Classification

Primary: 16.98

Secondary: 46.00

Milestones

Received: 1 November 1968

Published: 1 September 1969