On the Baer ideal in algebras satisfying Capelli identities
Journal Article
·
· Sbornik. Mathematics
- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
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.
- OSTI ID:
- 21202828
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 12 Vol. 189; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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