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.

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