This article is cited in 10 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.

UDC: 512

MSC: 17A30

Received: 08.10.1996

DOI: 10.4213/sm253

 English version: Sbornik: Mathematics, 1997, 188:8, 1203–1211

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