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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 236, Pages 73–86 (Mi znsl8)  
This article is cited in 1 scientific paper (total in 1 paper)

Krull dimension of the module category over right noetherian serial rings

A. I. Generalov

Saint-Petersburg State University
Full-text PDF (211 kB) Citations (1)
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Abstract: For a right noetherian serial ring $R$ which is not artinian, it is proved that the Krull dimension of the category of finitely generated right $R$-modules equals one.
Received: 17.02.1997
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 95, Issue 2, Pages 2088–2095
DOI: https://doi.org/10.1007/BF02169964
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: A. I. Generalov, “Krull dimension of the module category over right noetherian serial rings”, Problems in the theory of representations of algebras and groups. Part 5, Zap. Nauchn. Sem. POMI, 236, POMI, St. Petersburg, 1997, 73–86; J. Math. Sci. (New York), 95:2 (1999), 2088–2095
Citation in format AMSBIB
\Bibitem{Gen97}
\by A.~I.~Generalov
\paper Krull dimension of the module category over right noetherian serial rings
\inbook Problems in the theory of representations of algebras and groups. Part~5
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 236
\pages 73--86
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl8}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754446}
\zmath{https://zbmath.org/?q=an:0983.16018}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 95
\issue 2
\pages 2088--2095
\crossref{https://doi.org/10.1007/BF02169964}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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