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Fundamentalnaya i Prikladnaya Matematika, 1995, Volume 1, Issue 2, Pages 557–559 (Mi fpm75)  

This article is cited in 3 scientific papers (total in 3 papers)

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On $PI$-rings having a faithful module with Krull dimension

V. T. Markov

M. V. Lomonosov Moscow State University
Full-text PDF (153 kB) Citations (3)
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Abstract: The main result: if a $PI$-ring $R$ has a faithful left module $M$ with Krull dimension, then its prime radical $N$ is nilpotent. Moreover if the left modules $M$ and $N$ are finitely generated then $R$ has left Krull dimension which is equal to Krull dimension of the module $M$.
Received: 01.01.1995
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. T. Markov, “On $PI$-rings having a faithful module with Krull dimension”, Fundam. Prikl. Mat., 1:2 (1995), 557–559
Citation in format AMSBIB
\Bibitem{Mar95}
\by V.~T.~Markov
\paper On $PI$-rings having a faithful module with Krull dimension
\jour Fundam. Prikl. Mat.
\yr 1995
\vol 1
\issue 2
\pages 557--559
\mathnet{http://mi.mathnet.ru/fpm75}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1790987}
\zmath{https://zbmath.org/?q=an:0866.16014}
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  • https://www.mathnet.ru/eng/fpm/v1/i2/p557
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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