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Mathematics of the USSR-Izvestiya, 1985, Volume 25, Issue 3, Pages 429–441
DOI: https://doi.org/10.1070/IM1985v025n03ABEH001294 (Mi im1510) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Projective modules over universal enveloping algebras

V. A. Artamonov
English version PDF (599 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM1985v025n03ABEH001294
Abstract: Under certain assumptions it is proved that finitely generated projective modules over nilpotent Lie algebras are free. The proof of the main result uses a generalization to graded algebras of Quillen's localization principle and a theorem of Horrocks.
Bibliography: 10 titles.
Received: 16.06.1983
Revised: 17.11.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1984, Volume 48, Issue 6, Pages 1123–1137
Bibliographic databases:
UDC: 512
MSC: Primary 16A50, 17B35; Secondary 18F25
Language: English
Original paper language: Russian
Citation: V. A. Artamonov, “Projective modules over universal enveloping algebras”, Izv. Akad. Nauk SSSR Ser. Mat., 48:6 (1984), 1123–1137; Math. USSR-Izv., 25:3 (1985), 429–441
Citation in format AMSBIB
\Bibitem{Art84}
\by V.~A.~Artamonov
\paper Projective modules over universal enveloping algebras
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 6
\pages 1123--1137
\mathnet{http://mi.mathnet.ru/im1510}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=772108}
\zmath{https://zbmath.org/?q=an:0583.16013|0567.16014}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 25
\issue 3
\pages 429--441
\crossref{https://doi.org/10.1070/IM1985v025n03ABEH001294}
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    • This publication is cited in the following 7 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
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    Abstract page:379
    Russian version PDF:105
    English version PDF:16
    References:72
    First page:3
     
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