The Hilbert series of prime PI rings.

DOI10.1007/BF02787539zbMath1068.16025MaRDI QIDQ1885583

Jason P. Bell

Publication date: 11 November 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

prime algebrasGelfand-Kirillov dimensionrings with polynomial identityrational Hilbert series

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (1)

Context-free languages and associative algebras with algebraic Hilbert series

Cites Work

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• A geometric approach to the almost convexity and growth of some nilpotent groups
• A growth criterion for graphs and algebras defined by words
• Invariants and the ring of generic matrices
• Growth series of finite extensions of \(Z^ n \)are rational
• Homological properties of (graded) Noetherian PI rings
• Graded algebras
• On the Gel′fand-Kirillov dimension of Noetherian P.I.-algebras
• On the rationality of Hilbert series of relatively free algebras
• Growth of graded noetherian rings

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