Geodesic
Right hereditary affine PI rings are left hereditary
Glasgow mathematical journal, Tome 30 (1988) no. 1, pp. 115-120

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

Small [11] gave the first example of a right hereditary PI ring which is not left hereditary. Robson and Small [9] proved that a prime PI right hereditary ring is a classical order over a Dedekind domain, and hence is Noetherian (and therefore left hereditary). The authors have shown [4] that a right hereditary semiprime PI ring which is finitely generated over its center is left hereditary. In this paper we consider right hereditary PI rings T which are affine (i.e. finitely generated as an algebra over a central subfield k). 
Kirkman, Ellen; Kuzmanovich, James. Right hereditary affine PI rings are left hereditary. Glasgow mathematical journal, Tome 30 (1988) no. 1, pp. 115-120. doi: 10.1017/S0017089500007096
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