Vol. 90, No. 2, 1980

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Alternative rings whose symmetric elements are nilpotent or a right multiple is a symmetric idempotent

G. P. Wene

Vol. 90 (1980), No. 2, 483–492
Abstract

Osborn characterizes those associative rings with involutions in which each symmetric element is nilpotent or invertible. Analogous results are obtained for alternative rings. The restriction is further relaxed to require only that each symmetric element is nilpotent or some multiple is a symmetric idempotent.

Mathematical Subject Classification 2000
Primary: 17D05
Milestones
Received: 20 April 1978
Revised: 14 August 1979
Published: 1 October 1980
Authors
G. P. Wene