Zapiski Nauchnykh Seminarov LOMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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

This article is cited in 22 scientific papers (total in 22 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}
Linking options:
  • https://www.mathnet.ru/eng/znsl1879
  • https://www.mathnet.ru/eng/znsl/v64/p131
  • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:403
    Full-text PDF :186
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024