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Sbornik: Mathematics, 1997, Volume 188, Issue 8, Pages 1203–1211
DOI: https://doi.org/10.1070/sm1997v188n08ABEH000253
(Mi sm253)
 

This article is cited in 10 scientific papers (total in 10 papers)

On the largest nilpotent ideal in algebras satisfying Capelli identities

K. A. Zubrilin

M. V. Lomonosov Moscow State University
References:
Abstract: It is proved that in any finitely generated algebra of finite signature over an arbitrary field or commutative associative Noetherian ring satisfying the Capelli identities of some order there exists a largest nilpotent ideal.
Received: 08.10.1996
Bibliographic databases:
UDC: 512
MSC: 17A30
Language: English
Original paper language: Russian
Citation: K. A. Zubrilin, “On the largest nilpotent ideal in algebras satisfying Capelli identities”, Sb. Math., 188:8 (1997), 1203–1211
Citation in format AMSBIB
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\by K.~A.~Zubrilin
\paper On the largest nilpotent ideal in algebras satisfying Capelli identities
\jour Sb. Math.
\yr 1997
\vol 188
\issue 8
\pages 1203--1211
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Linking options:
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  • https://doi.org/10.1070/sm1997v188n08ABEH000253
  • https://www.mathnet.ru/eng/sm/v188/i8/p93
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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