Geodesic
On class of nilpotency of obstruction to embeddability of algebras satisfying Capelli identities
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 409-430

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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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     author = {K. A. Zubrilin},
     title = {On class of nilpotency of obstruction to embeddability of algebras satisfying {Capelli} identities},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {409--430},
     publisher = {mathdoc},
     volume = {1},
     number = {2},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a5/}
}
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K. A. Zubrilin. On class of nilpotency of obstruction to embeddability of algebras satisfying Capelli identities. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 409-430. http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a5/