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Sbornik: Mathematics, 1995, Volume 186, Issue 3, Pages 359–370
DOI: https://doi.org/10.1070/SM1995v186n03ABEH000021 (Mi sm21) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Algebras satisfying Capelli identities

K. A. Zubrilin

M. V. Lomonosov Moscow State University
English version PDF (584 kB) Citations (21)
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DOI: https://doi.org/10.1070/SM1995v186n03ABEH000021
Abstract: Results on the structure of algebras of any finite signature satisfying Capelli identities over fields and Noetherian commutative associative rings are obtained. It is proved that a finitely generated algebra satisfying Capelli identities of some order has a largest solvable ideal. If, in addition, the algebra is semiprime, then it has only finitely many minimal prime ideals. An estimate is given for the nilpotency class of an ideal that is an obstacle to the representability of a finitely generated algebra satisfying Capelli identities.
Received: 01.02.1994
Russian version:
Matematicheskii Sbornik, 1995, Volume 186, Number 3, Pages 53–64
Bibliographic databases:
UDC: 519.4
MSC: Primary 17A30; Secondary 17A60
Language: English
Original paper language: Russian
Citation: K. A. Zubrilin, “Algebras satisfying Capelli identities”, Mat. Sb., 186:3 (1995), 53–64; Sb. Math., 186:3 (1995), 359–370
Citation in format AMSBIB
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\by K.~A.~Zubrilin
\paper Algebras satisfying Capelli identities
\jour Mat. Sb.
\yr 1995
\vol 186
\issue 3
\pages 53--64
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1331808}
\zmath{https://zbmath.org/?q=an:0854.17003}
\transl
\jour Sb. Math.
\yr 1995
\vol 186
\issue 3
\pages 359--370
\crossref{https://doi.org/10.1070/SM1995v186n03ABEH000021}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ92200004}
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  • https://www.mathnet.ru/eng/sm/v186/i3/p53
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:105
    English version PDF:6
    References:40
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