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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 11, Pages 23–33 (Mi ivm8391)  

This article is cited in 6 scientific papers (total in 6 papers)

Derivations of a matrix ring containing a subring of triangular matrices

S. G. Kolesnikova, N. V. Mal'tsevb

a Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
b Institute of Core Undergraduate Programms, Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (197 kB) Citations (6)
References:
Abstract: We describe the derivations (including Jordan and Lie ones) for any ring $S$ of finitary matrices over an associative ring with identity element provided that $S$ contains all triangular finitary matrices.
Keywords: finitary matrix, derivation of ring, Jordan and Lie derivations of ring.
Received: 22.10.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 11, Pages 18–26
DOI: https://doi.org/10.3103/S1066369X1111003X
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: S. G. Kolesnikov, N. V. Mal'tsev, “Derivations of a matrix ring containing a subring of triangular matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 11, 23–33; Russian Math. (Iz. VUZ), 55:11 (2011), 18–26
Citation in format AMSBIB
\Bibitem{KolMal11}
\by S.~G.~Kolesnikov, N.~V.~Mal'tsev
\paper Derivations of a~matrix ring containing a~subring of triangular matrices
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 11
\pages 23--33
\mathnet{http://mi.mathnet.ru/ivm8391}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2963176}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 11
\pages 18--26
\crossref{https://doi.org/10.3103/S1066369X1111003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856302453}
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  • https://www.mathnet.ru/eng/ivm/y2011/i11/p23
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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