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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 265, Pages 29–41 (Mi znsl1188)  
Krull-Schmidt theorem for Henselian rings

M. V. Bondarko

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (204 kB)
Abstract: A necessary and sufficient condition on aring for all indecomposable finite-dimensional algebras over it to be local is found. The Krull–Schmidt theorem for a class of rings that includes both Henselian voluation rings and rings of integers of multi-dimensional fields is proved.
Received: 11.11.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 112, Issue 3, Pages 4259–4265
DOI: https://doi.org/10.1023/A:1020326532006
Bibliographic databases:
UDC: 512
Language: Russian
Citation: M. V. Bondarko, “Krull-Schmidt theorem for Henselian rings”, Problems in the theory of representations of algebras and groups. Part 6, Zap. Nauchn. Sem. POMI, 265, POMI, St. Petersburg, 1999, 29–41; J. Math. Sci. (New York), 112:3 (2002), 4259–4265
Citation in format AMSBIB
\Bibitem{Bon99}
\by M.~V.~Bondarko
\paper Krull-Schmidt theorem for Henselian rings
\inbook Problems in the theory of representations of algebras and groups. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 265
\pages 29--41
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1188}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1757814}
\zmath{https://zbmath.org/?q=an:1054.13501}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 112
\issue 3
\pages 4259--4265
\crossref{https://doi.org/10.1023/A:1020326532006}
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