Geodesic
Noetherian semiprime rings and distributivity
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 767-779 
A. A. Tuganbaev. Noetherian semiprime rings and distributivity. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 767-779. http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Theorem 1 is the main result of the article. Theorem 1. The following conditions are equivalent: (1) $A$ is a right distributive right noetherian semiprime ring with finite left Goldie dimension; (2) $A$ is a left distributive left noetherian semiprime ring with finite right Goldie dimension; (3) $A$ is a finite direct product of invariant hereditary noetherian domains.

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