Geodesic
Structure of a Certain Class of Rings with Involution
Canadian journal of mathematics, Tome 27 (1975) no. 5, pp. 1114-1126

Voir la notice de l'article provenant de la source Cambridge University Press

Let R be a ring with involution *, and let Z denote the center of R. In R let S = {x ∈ R|x* = x} be the set of symmetric elements of R. We shall study rings which are conditioned in the following way: given s ∈ S, then for some integer and some polynomial p(t), with integer coefficients which depend on . What can one hope to say about such rings? Certainly all rings in which every symmetric element is nilpotent fall into this class. 
Chacron, M.; Herstein, I. N.; Montgomery, S. Structure of a Certain Class of Rings with Involution. Canadian journal of mathematics, Tome 27 (1975) no. 5, pp. 1114-1126. doi: 10.4153/CJM-1975-117-8
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