Geodesic
Distributive semiprime rings
Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 736-761 
A. A. Tuganbaev. Distributive semiprime rings. Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 736-761. http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a8/
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     author = {A. A. Tuganbaev},
     title = {Distributive semiprime rings},
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     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that a right distributive semiprime \textrm{PI} ring $A$ is a left distributive ring and for each element $x\in A$ there is a positive integer $n$ such that $x^nA=Ax^n$. We describe both right distributive right Noetherian rings algebraic over the center of the ring and right distributive left Noetherian \textrm{PI} rings. We also characterize rings all of whose Pierce stalks are right chain right Artin rings.

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