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Matematicheskie Zametki, 1971, Volume 10, Issue 6, Pages 671–678 (Mi mzm9746)  
Matrix representation of Lie algebras over rings

V. A. Churkin

Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR
Full-text PDF (1315 kB) English version article
Abstract: Over the principal ideal ring $k$, the Lie $k$-algebras which are free $k$-modules of finite rank are, to within isomorphism, the Lie subalgebras of the full matrix algebra $M(n, k)$.
Received: 10.06.1970
English version:
Mathematical Notes, 1871, Volume 10, Issue 6, Pages 835–839
DOI: https://doi.org/10.1007/BF01146442
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: V. A. Churkin, “Matrix representation of Lie algebras over rings”, Mat. Zametki, 10:6 (1971), 671–678; Math. Notes, 10:6 (1871), 835–839
Citation in format AMSBIB
\Bibitem{Chu71}
\by V.~A.~Churkin
\paper Matrix representation of Lie algebras over rings
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 6
\pages 671--678
\mathnet{http://mi.mathnet.ru/mzm9746}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=296121}
\zmath{https://zbmath.org/?q=an:0251.17004}
\transl
\jour Math. Notes
\yr 1871
\vol 10
\issue 6
\pages 835--839
\crossref{https://doi.org/10.1007/BF01146442}
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