Geodesic
The intersection of the powers of the topological Jacobson radical and topological Krull dimension
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 2, pp. 243-252.

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In this paper, it is proved that a certain power of the topological Jacobson radical for a ring annihilates a left module having topological Krull dimension over this ring. The estimation of this power depends on the topological Krull dimension and the dual topological Krull dimension. A similar estimation for discrete Jacobson radical holds true. Levitzky's theorem is generalized for topological rings. 
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V. V. Tenzina. The intersection of the powers of the topological Jacobson radical and topological Krull dimension. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 2, pp. 243-252. http://geodesic.mathdoc.fr/item/FPM_2016_21_2_a10/

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