Geodesic
On Hilbert series and the homology of PI-algebras
Sbornik. Mathematics, Tome 189 (1998) no. 11, pp. 1685-1700 
D. I. Piontkovskii. On Hilbert series and the homology of PI-algebras. Sbornik. Mathematics, Tome 189 (1998) no. 11, pp. 1685-1700. http://geodesic.mathdoc.fr/item/SM_1998_189_11_a4/
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     author = {D. I. Piontkovskii},
     title = {On {Hilbert} series and the homology of {PI-algebras}},
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     url = {http://geodesic.mathdoc.fr/item/SM_1998_189_11_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The main goal of this paper is to generalize the criterion for complete intersections well known in commutative algebra to the case of an arbitrary variety of PI-(super)algebras. As a consequence, formulae are obtained for computing the Hilbert series of the even and odd parts of relatively free superalgebras and free special Jordan superalgebras.

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