Geodesic
Algebras with a Diagonable Subspace whose Centralizer Satisfies a Polynomial Identity
Canadian journal of mathematics, Tome 29 (1977) no. 2, pp. 277-283

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

The literature concerning rings with polynomial identity contains several theorems in which the existence of a polynomial identity on a subring implies the existence of such an identity on the ring itself. Belluce and Jain showed in 1968 that a prime ring will satisfy a polynomial identity provided it contains a right ideal with zero left annihilator which satisfies a polynomial identity [2]. 
Goodaire, E. G. Algebras with a Diagonable Subspace whose Centralizer Satisfies a Polynomial Identity. Canadian journal of mathematics, Tome 29 (1977) no. 2, pp. 277-283. doi: 10.4153/CJM-1977-029-6
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