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math.RA2010★ 12 cited
Hilbert series of PI relatively free G-graded algebras are rational functions
Eli Aljadeff, Alexei Kanel-Belov
Let G be a finite group, (g_{1},...,g_{r}) an (unordered) r-tuple of G^{(r)} and x_{i,g_i}'s variables that correspond to the g_i's, i=1,...,r. Let F<x_{1,g_1},...,x_{r,g_r}> be th…
math.RA2010
Group graded PI-algebras and their codimension growth
Eli Aljadeff
Let W be an associative PI-algebra over a field F of characteristic zero. Suppose W is G-graded where G is a finite group. Let exp(W) and exp(W_e) denote the codimension growth of…