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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 93 scientific papers (total in 93 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 (93) Russian version article
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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
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”, 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 Math. USSR-Izv.
\yr 1976
\vol 10
\issue 5
\pages 937--1001
\mathnet{http://mi.mathnet.ru/eng/im2227}
\crossref{https://doi.org/10.1070/IM1976v010n05ABEH001822}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=447245}
\zmath{https://zbmath.org/?q=an:0338.13015}
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  • https://www.mathnet.ru/eng/im/v40/i5/p993
    • This publication is cited in the following 93 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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