Geodesic
Radical of a relatively free associative algebra over fields of positive characteristic
Sbornik. Mathematics, Tome 199 (2008) no. 5, pp. 707-753 
L. M. Samoilov. Radical of a relatively free associative algebra over fields of positive characteristic. Sbornik. Mathematics, Tome 199 (2008) no. 5, pp. 707-753. http://geodesic.mathdoc.fr/item/SM_2008_199_5_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The following Kemer problem on the nilindex of the radical is solved: it is shown that the Jacobson radical of a relatively free associative algebra over an infinite field of positive characteristic is a nilideal of bounded index. A basis of the identities with forms for matrix algebras over infinite fields of positive characteristic is described. Bibliography: 10 titles.

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[10] C. Procesi, “The invariant theory of $n\times n$-matrices”, Advances in Math., 19:3 (1976), 306–381 | DOI | MR | Zbl