Geodesic
A Note on Nilpotent Jordan Rings
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 399-401

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Let R be a 2-torsion free associative ring with involution. It is shown that if the set S of symmetric elements is nilpotent as a Jordan ring then R is nilpotent.
DOI : 10.4153/CMB-1987-059-1
Mots-clés : 16A68 
III, Wallace S. Martindale. A Note on Nilpotent Jordan Rings. Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 399-401. doi: 10.4153/CMB-1987-059-1
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[1] 1. Martindale, Wallace S. III and Susan, Montgomery, Fixed elements of Jordan automorphisms of associative rings, Pac. J. Math. 72 (1977), pp. 181–196. Google Scholar

[2] 2. Schafer, Richard D., An introduction to nonassociative algebras, Academic Press, New York and London, 1966. Google Scholar

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