On lower transcendence degree

DOI10.1006/aima.1998.1749zbMath0924.16015OpenAlexW1977597787WikidataQ107732722 ScholiaQ107732722MaRDI QIDQ1273833

James J. Zhang

Publication date: 15 September 1999

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1998.1749

zbMATH Keywords

Weyl algebrasuniversal enveloping algebrasOre domainsGelfand-Kirillov dimensiondivision algebrasPI algebrasArtin-Schelter regular algebrasGelfand-Kirillov transcendence degree

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Infinite-dimensional and general division rings (16K40)

Related Items (13)

Division algebras of Gelfand-Kirillov transcendence degree 2. ⋮ On isoperimetric profiles of algebras. ⋮ Noncommutative curves and noncommutative surfaces ⋮ On Gelfand-Kirillov Transcendence Degree ⋮ Entropy and Følner function in algebras. ⋮ Some aspects of noncommutative invariant theory and the Noether's problem ⋮ On the Kodaira dimension of maximal orders ⋮ Transcendence degree of division algebras. ⋮ There are no graded domains with GK dimension strictly between 2 and 3. ⋮ Centers in domains with quadratic growth. ⋮ \textit{LD}-stability for Goldie rings ⋮ Tauvel’s height formula for quantum nilpotent algebras ⋮ Embeddings of quotient division algebras of rings of differential operators

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