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This article is cited in 7 scientific papers (total in 7 papers)
On the largest nilpotent ideal in algebras satisfying Capelli identities
K. A. Zubrilin
M. V. Lomonosov Moscow State University
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.
DOI:
https://doi.org/10.4213/sm253
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Sbornik: Mathematics, 1997, 188:8, 1203–1211
Bibliographic databases:
   
UDC:
512
MSC: 17A30
Received: 08.10.1996
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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http://mi.mathnet.ru/eng/msb253https://doi.org/10.4213/sm253 http://mi.mathnet.ru/eng/msb/v188/i8/p93
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This publication is cited in the following articles:
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K. A. Zubrilin, “On the Baer ideal in algebras satisfying Capelli identities”, Sb. Math., 189:12 (1998), 1809–1818
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Zubrilin K.A., “Combinatorial aspects of Capelli identities and structure of algebras”, Formal Power Series and Algebraic Combinatorics, 2000, 785–788
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A. Ya. Belov, “On Rings Asymptotically Close to Associative Rings”, Siberian Adv. Math., 17:4 (2007), 227–267
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A. Ya. Belov, “The local finite basis property and local representability of varieties of associative rings”, Izv. Math., 74:1 (2010), 1–126
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C. Procesi, “The geometry of polynomial identities”, Izv. Math., 80:5 (2016), 910–953
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KanelBelov A. Karasik Y. Rowen L., “Computational Aspects of Polynomial Identities: Vol 1, Kemer'S Theorems, 2Nd Edition”, Computational Aspects of Polynomial Identities: Vol 1, Kemer'S Theorems, 2Nd Edition, Monographs and Research Notes in Mathematics, 16, Crc Press-Taylor & Francis Group, 2016, 1–407
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A. N. Blagovisnaya, “Klassicheskie radikaly i tsentroid Martindeila artinovykh i neterovykh algebr Li”, Chebyshevskii sb., 20:1 (2019), 313–353
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