Rings with involution and the prime radical

Willard Ellis Baxter and L. A. Casciotti

Vol. 69 (1977), No. 1, 11–17

DOI: 10.2140/pjm.1977.69.11

Abstract

This paper first gives an equivalent characterization of the prime radical of S, the set of symmetric elements, in a ring R which is 2-torsion free and has an involution defined on it to that of Tsai by showing their equivalence using the results of Erickson and Montgomery.

Mathematical Subject Classification 2000

Primary: 16A28, 16A28

Secondary: 17C10

Milestones

Received: 1 June 1976

Revised: 13 October 1976

Published: 1 March 1977