Journal of Mathematical Sciences

, Volume 185, Issue 3, pp 381–388 | Cite as

The topological jacobson radical of rings. II

  • S. T. Glavatsky
  • A. V. Mikhalev
  • V. V. Tenzina


In this paper, topologically primitive rings and rings possessing a faithful topologically irreducible module and bounded by this module are considered for the investigation of properties of their topological Jacobson radical. We investigate the topological Jacobson radical in some classes of topological rings such as left topologically Artinian rings, topological rings possessing a basis of neighborhoods of zero consisting of ideals, compact rings, and bounded strictly linearly compact rings.


Prime Ideal Left Ideal Jacobson Radical Natural Homomorphism Irreducible Module 
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Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  • S. T. Glavatsky
    • 1
  • A. V. Mikhalev
    • 1
  • V. V. Tenzina
    • 1
  1. 1.Moscow State UniversityMoscowRussia

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