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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 64, Pages 131–152 (Mi znsl1879)  

This article is cited in 23 scientific papers (total in 23 papers)

Stabilization theorem for the Milnor $K_2$-functor

A. A. Suslin, M. S. Tulenbaev
Abstract: Let $\Lambda$ be an associative ring. For every natural number $n$ there is a canonical homomorphism $\Psi_n\colon K_{2,n}(\Lambda)\to K_2(\lambda)$ where $K_2$ is the Milnor functor and $K_{2,n}(\lambda)$ the associated unstable $K$-group. Dennis and Vasershtein have proved that if $n$ is larger than the stable rank of $\Lambda$, $\Psi_n$is an epimorphism. It is proved in the article that if $n-1$ is greater than the stable rank of $\Lambda$, the homomorphism $\Psi_n$ is an isomorphism.
English version:
Journal of Soviet Mathematics, 1981, Volume 17, Issue 2, Pages 1804–1819
DOI: https://doi.org/10.1007/BF01091768
Bibliographic databases:
UDC: 519.46
Language: Russian
Citation: A. A. Suslin, M. S. Tulenbaev, “Stabilization theorem for the Milnor $K_2$-functor”, Rings and modules, Zap. Nauchn. Sem. LOMI, 64, "Nauka", Leningrad. Otdel., Leningrad, 1976, 131–152; J. Soviet Math., 17:2 (1981), 1804–1819
Citation in format AMSBIB
\Bibitem{SusTul76}
\by A.~A.~Suslin, M.~S.~Tulenbaev
\paper Stabilization theorem for the Milnor $K_2$-functor
\inbook Rings and modules
\serial Zap. Nauchn. Sem. LOMI
\yr 1976
\vol 64
\pages 131--152
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1879}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=457525}
\zmath{https://zbmath.org/?q=an:0461.18008|0356.18014}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 17
\issue 2
\pages 1804--1819
\crossref{https://doi.org/10.1007/BF01091768}
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  • https://www.mathnet.ru/eng/znsl/v64/p131
  • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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