Geodesic
A~remark on the intersection of powers of the Jacobson radical
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 2, pp. 207-209

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If $A$ is a left Noetherian, right distributive ring, then $\bigcap_{k=1}^\infty(J(A))^k=0$. 
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     author = {A. A. Tuganbaev},
     title = {A~remark on the intersection of powers of the {Jacobson} radical},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     publisher = {mathdoc},
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     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a9/}
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A. A. Tuganbaev. A~remark on the intersection of powers of the Jacobson radical. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 2, pp. 207-209. http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a9/