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Journal of Mathematical Sciences

, Volume 237, Issue 2, pp 323–328 | Cite as

The Intersection of the Powers of the Topological Jacobson Radical and Topological Krull Dimension

  • V. V. TenzinaEmail author
Article
  • 11 Downloads

Abstract

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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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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