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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 5, Pages 937–1001
DOI: https://doi.org/10.1070/IM1976v010n05ABEH001822 (Mi im2227) 		 
This article is cited in 82 scientific papers (total in 82 papers)

Serre's problem on projective modules over polynomial rings, and algebraic $K$-theory

L. N. Vaserstein, A. A. Suslin
English version PDF (2977 kB) Citations (82)
References:
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DOI: https://doi.org/10.1070/IM1976v010n05ABEH001822
Abstract: We obtain new results on the freeness of projective modules over polynomial rings. In particular we prove the freeness of all projective modules over polynomial rings in five variables with coefficients from an arbitrary field.
Bibliography: 46 titles.
Received: 04.04.1975
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1976, Volume 40, Issue 5, Pages 993–1054
Bibliographic databases:
UDC: 519.4
MSC: Primary 13C10, 13F20, 14F05; Secondary 13B25, 18F25
Language: English
Original paper language: Russian
Citation: L. N. Vaserstein, A. A. Suslin, “Serre's problem on projective modules over polynomial rings, and algebraic $K$-theory”, Izv. Akad. Nauk SSSR Ser. Mat., 40:5 (1976), 993–1054; Math. USSR-Izv., 10:5 (1976), 937–1001
Citation in format AMSBIB
\Bibitem{VasSus76}
\by L.~N.~Vaserstein, A.~A.~Suslin
\paper Serre's problem on projective modules over polynomial rings, and algebraic $K$-theory
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1976
\vol 40
\issue 5
\pages 993--1054
\mathnet{http://mi.mathnet.ru/im2227}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=447245}
\zmath{https://zbmath.org/?q=an:0338.13015}
\transl
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 5
\pages 937--1001
\crossref{https://doi.org/10.1070/IM1976v010n05ABEH001822}
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  • https://doi.org/10.1070/IM1976v010n05ABEH001822
  • https://www.mathnet.ru/eng/im/v40/i5/p993
    • This publication is cited in the following 82 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:851
    Russian version PDF:409
    English version PDF:84
    References:76
    First page:3
     
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