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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 265, Pages 300–305 (Mi znsl1206)  
A Krull–Schmidt Theorem for Artinian modules over local rings

K. I. Pimenov

Saint-Petersburg State University
Full-text PDF (146 kB)
Abstract: The article contains a generalization of Fitting's Lemma for Artinian modules of arbitrary length over some non-noetherian local rings. A counter-example to a strong form of Krull–Schmidt Theorem for Artinian modules over a local ring is constructed.
Received: 10.12.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 112, Issue 4, Pages 4407–4409
DOI: https://doi.org/10.1023/A:1020363507415
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: K. I. Pimenov, “A Krull–Schmidt Theorem for Artinian modules over local rings”, Problems in the theory of representations of algebras and groups. Part 6, Zap. Nauchn. Sem. POMI, 265, POMI, St. Petersburg, 1999, 300–305; J. Math. Sci. (New York), 112:4 (2002), 4407–4409
Citation in format AMSBIB
\Bibitem{Pim99}
\by K.~I.~Pimenov
\paper A Krull--Schmidt Theorem for Artinian modules over local rings
\inbook Problems in the theory of representations of algebras and groups. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 265
\pages 300--305
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1206}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1757832}
\zmath{https://zbmath.org/?q=an:1052.16002}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 112
\issue 4
\pages 4407--4409
\crossref{https://doi.org/10.1023/A:1020363507415}
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