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This article is cited in 9 scientific papers (total in 9 papers)
On the Baer ideal in algebras satisfying Capelli identities
K. A. Zubrilin M. V. Lomonosov Moscow State University
Abstract:
The structure is investigated of the Baer ideal of a finitely generated algebra of arbitrary finite signature over an arbitrary field or over a Noetherian commutative-associative ring satisfying a system of Capelli identities of order $n+1$. It is proved that the length of the Baer chain of ideals in such an algebra is at most $n$. It is proved that the quotient of this algebra modulo the largest nilpotent ideal is representable.
Received: 20.01.1998
Citation:
K. A. Zubrilin, “On the Baer ideal in algebras satisfying Capelli identities”, Sb. Math., 189:12 (1998), 1809–1818
Linking options:
https://www.mathnet.ru/eng/sm375https://doi.org/10.1070/sm1998v189n12ABEH000375 https://www.mathnet.ru/eng/sm/v189/i12/p73
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Abstract page: | 312 | Russian version PDF: | 165 | English version PDF: | 24 | References: | 36 | First page: | 1 |
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