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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) Russian version article
References:
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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
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”, 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 Math. USSR-Sb.
\yr 1974
\vol 22
\issue 4
\pages 595--602
\mathnet{http://mi.mathnet.ru//eng/sm3484}
\crossref{https://doi.org/10.1070/SM1974v022n04ABEH001708}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=344238}
\zmath{https://zbmath.org/?q=an:0289.13005}
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  • 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
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