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The Hilbert series of prime PI rings

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Abstract

We study the Hilbert series of finitely generated prime PI algebras. We show that given such an algebraA there exists some finite dimensional subspaceV ofA which contains 1 A and generatesA as an algebra such that the Hilbert series ofA with respect to the vector spaceV is a rational function.

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, East Hall, 525 East University Ave., 48109-1109, Ann Arbor, MI, USA

    Jason P. Bell

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  1. Jason P. Bell
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Correspondence to Jason P. Bell.

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Bell, J.P. The Hilbert series of prime PI rings. Isr. J. Math. 139, 1–10 (2004). https://doi.org/10.1007/BF02787539

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  • DOI: https://doi.org/10.1007/BF02787539

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