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Displaying similar documents to “An inequality for Hilbert series of graded algebras.”

On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras

Centrone, Lucio (2012)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: 16R10, 16W55, 15A75. We survey some recent results on graded Gelfand-Kirillov dimension of PI-algebras over a field F of characteristic 0. In particular, we focus on verbally prime algebras with the grading inherited by that of Vasilovsky and upper triangular matrices, i.e., UTn(F), UTn(E) and UTa,b(E), where E is the infinite dimensional Grassmann algebra.