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Mathematics of the USSR-Sbornik, 1974, Volume 22, Issue 4, Pages 595–602
DOI: https://doi.org/10.1070/SM1974v022n04ABEH001708 (Mi sm3484) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On projective modules over polynomial rings

A. A. Suslin
English version PDF (514 kB) Citations (10)
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DOI: https://doi.org/10.1070/SM1974v022n04ABEH001708
Abstract: We prove that every projective module of rank greater than $\frac{n+1}2$ over the ring $k[X_1,\dots,X_n]$ is free if $k$ is an infinite field.
Bibliography: 5 titles.
Received: 04.06.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 93(135), Number 4, Pages 588–595
Bibliographic databases:
UDC: 513.015.7
MSC: Primary 13C10; Secondary 14F05, 18F25
Language: English
Original paper language: Russian
Citation: A. A. Suslin, “On projective modules over polynomial rings”, Mat. Sb. (N.S.), 93(135):4 (1974), 588–595; Math. USSR-Sb., 22:4 (1974), 595–602
Citation in format AMSBIB
\Bibitem{Sus74}
\by A.~A.~Suslin
\paper On projective modules over polynomial rings
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 93(135)
\issue 4
\pages 588--595
\mathnet{http://mi.mathnet.ru/sm3484}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=344238}
\zmath{https://zbmath.org/?q=an:0289.13005}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 22
\issue 4
\pages 595--602
\crossref{https://doi.org/10.1070/SM1974v022n04ABEH001708}
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  • https://doi.org/10.1070/SM1974v022n04ABEH001708
  • https://www.mathnet.ru/eng/sm/v135/i4/p588
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:568
    Russian version PDF:262
    English version PDF:17
    References:58
    First page:2
     
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