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.
Citation:
L. N. Vaserstein, A. A. Suslin, “Serre's problem on projective modules over polynomial rings, and algebraic KK-theory”, Math. USSR-Izv., 10:5 (1976), 937–1001
\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{http://mathscinet.ams.org/mathscinet-getitem?mr=447245}
\zmath{https://zbmath.org/?q=an:0338.13015}
Linking options:
https://www.mathnet.ru/eng/im2227
https://doi.org/10.1070/IM1976v010n05ABEH001822
https://www.mathnet.ru/eng/im/v40/i5/p993
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