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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 8, Pages 49–68 (Mi fpm1377)  
This article is cited in 3 scientific papers (total in 3 papers)

The topological Jacobson radical of rings. I

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

M. V. Lomonosov Moscow State University
Full-text PDF (214 kB) Citations (3)
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Abstract: In this paper, a topological Jacobson radical of rings is introduced. Several properties of this radical are considered. We investigate the topological Jacobson radical for some constructions of topological rings such as adjunction of the unitary element, completion, direct product with respect to the Tychonoff topology, rings of continuous functions, and polynomial rings.
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 2, Pages 207–220
DOI: https://doi.org/10.1007/s10958-012-0910-4
Bibliographic databases:
Document Type: Article
UDC: 512.556+512.552.12
Language: Russian
Citation: S. T. Glavatsky, A. V. Mikhalev, V. V. Tenzina, “The topological Jacobson radical of rings. I”, Fundam. Prikl. Mat., 16:8 (2010), 49–68; J. Math. Sci., 185:2 (2012), 207–220
Citation in format AMSBIB
\Bibitem{GlaMikTen10}
\by S.~T.~Glavatsky, A.~V.~Mikhalev, V.~V.~Tenzina
\paper The topological Jacobson radical of rings.~I
\jour Fundam. Prikl. Mat.
\yr 2010
\vol 16
\issue 8
\pages 49--68
\mathnet{http://mi.mathnet.ru/fpm1377}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2869833}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 185
\issue 2
\pages 207--220
\crossref{https://doi.org/10.1007/s10958-012-0910-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866321097}
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  • https://www.mathnet.ru/eng/fpm1377
  • https://www.mathnet.ru/eng/fpm/v16/i8/p49
    Cycle of papers
    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:75
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