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The main result is the following theorem. Let $A$ be a finitely generated relatively free PI-algebra over an infinite field. Then $H_A$—the Hilbert series of the algebra $A$—is rational.
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This page is a summary of: On the rationality of Hilbert series of relatively free algebras, Russian Mathematical Surveys, April 1997, Institute of Physics Publishing,
DOI: 10.1070/rm1997v052n02abeh001786.
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