The topological Jacobson radical of rings. I.

DOI10.1007/s10958-012-0910-4zbMath1262.16049OpenAlexW4206261710MaRDI QIDQ1930198

V. V. Tenzina, S. T. Glavatskii, Alexander V. Mikhalev

Publication date: 10 January 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0910-4

zbMATH Keywords

topological ringsnilpotent idealstopological Jacobson radicaleverywhere dense subringstopologically irreducible modulestopologically overnilpotent radicals

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Topological fields, rings, etc. (topological aspects) (54H13) Topological and ordered rings and modules (16W80) Jacobson radical, quasimultiplication (16N20)

Related Items (2)

The topological Jacobson radical of rings. II. ⋮ The intersection of the powers of the topological Jacobson radical and topological Krull dimension

Cites Work

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• Boundedness in topological rings
• Linear kompakte Moduln und Ringe
• Closed Prime Ideals in Topological Rings
• Topological Rings

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