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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
English version PDF (159 kB) Citations (10)
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DOI: https://doi.org/10.1070/sm1997v188n08ABEH000253
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
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 8, Pages 93–102
DOI: https://doi.org/10.4213/sm253
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”, Mat. Sb., 188:8 (1997), 93–102; Sb. Math., 188:8 (1997), 1203–1211
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:310
    Russian version PDF:173
    English version PDF:14
    References:40
    First page:1
     
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