A remark on Gelfand-Kirillov dimension

DOI10.1090/S0002-9939-98-04074-XzbMath0896.16019OpenAlexW1500516730MaRDI QIDQ4383001

James J. Zhang, S. Paul. Smith

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04074-x

zbMATH Keywords

Gelfand-Kirillov dimensionchange of fieldsGelfand-Kirillov transcendence degree

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90)

Related Items (12)

Zariski cancellation problem for noncommutative algebras ⋮ On structure of domains with quadratic growth. ⋮ Cancellation and skew cancellation for Poisson algebras ⋮ Exotic elliptic algebras ⋮ Hopf algebras of GK-dimension two with vanishing Ext-group ⋮ Growth, entropy and commutativity of algebras satisfying prescribed relations. ⋮ The Zariski cancellation problem for Poisson algebras ⋮ Unruffled extensions and flatness over central subalgebras. ⋮ Centers in domains with quadratic growth. ⋮ Cancellation problem for AS-regular algebras of dimension three ⋮ On lower transcendence degree ⋮ Extended Centres of Finitely Generated Prime Algebras

Cites Work

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• Central localization and Gelfand-Kirillov dimension
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
• On the transcendence degree of group algebras of nilpotent groups
• On Gelfand-Kirillov Transcendence Degree
• Affine algebras of Gelfand-Kirillov dimension one are PI

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