Vol. 72, No. 1, 1977

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Fixed elements of Jordan automorphisms of associative rings

Wallace Smith Martindale, III and Susan Montgomery

Vol. 72 (1977), No. 1, 181–196

Let R be an associative ring, and let G be a group of Jordan automorphisms of R. Let RG be the set of elements in R fixed by all g G; that is, RG = {x R|xg = x, all g G}. Although RG is not necessarily a subring of R, it is a Jordan subring of R. In this paper, we will study the relationship between the structure of RG as a Jordan ring and the structure of R, where G will usually be a finite group of order |G| and the ring R has no additive |G|-torsion.

Mathematical Subject Classification
Primary: 16A72, 16A72
Received: 4 November 1976
Revised: 16 March 1977
Published: 1 September 1977
Wallace Smith Martindale, III
Susan Montgomery
Department of Mathematics
University of Southern California
Los Angeles CA 90265-2532
United States