FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 2, PAGES 409-430

On class of nilpotency of obstruction to embeddability of algebras satisfying Capelli identities

K.A.Zubrilin

In a finitely generated algebra L satisfying Capelli identities of order n+1 over an arbitrary field there exists a nilpotent ideal I such that the class of nilpotency of the ideal I is not greater than n and the quotient algebra L/I is embeddable. It is shown that this bound of class of nilpotency of obstruction (ideal I) in the class of algebras of finite signature cannot be improved.

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