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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