Geodesic
On nilpotency of graded associative algebras
Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 419-425

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that an associative PI-algebra over a field of characteristic zero that is graded by an arbitrary semigroup and that satisfies the relation $a^n=0$ for all homogeneous elements and is generated by a finite number of its homogeneous components is nilpotent. This generalizes a well-known theorem of M. Nagata. 
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     author = {A. D. Chanyshev},
     title = {On nilpotency of graded associative algebras},
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A. D. Chanyshev. On nilpotency of graded associative algebras. Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 419-425. http://geodesic.mathdoc.fr/item/SM_1992_71_2_a9/