A note on GK dimension of skew polynomial extensions

DOI10.1090/S0002-9939-97-03602-2zbMath0863.16015MaRDI QIDQ4332958

James J. Zhang

Publication date: 19 February 1997

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

zbMATH Keywords

skew polynomial ringsGelfand-Kirillov dimensionalgebra automorphismspolynomial extensions

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Growth rate, Gelfand-Kirillov dimension (16P90)

Related Items

Survey on Hopf algebras of GK-dimension 1 and 2 ⋮ Rings of differential operators on curves. ⋮ Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras ⋮ The Dixmier-Moeglin equivalence for extensions of scalars and Ore extensions ⋮ Polynomials and Weyl algebras on time scales ⋮ Ambiskew Hopf algebras. ⋮ Gelfand–Kirillov dimension of generalized Weyl algebras (In memory of Guenter Rudolf Krause (1941–2015)) ⋮ The prime spectrum and representation theory of the 2 × 2 reflection equation algebra ⋮ ℤ-graded simple rings ⋮ Cancellation of Morita and skew types ⋮ On lower transcendence degree ⋮ Gelfand–Kirillov dimension of differential difference algebras ⋮ Gelfand-Kirillov dimension of algebras with locally nilpotent derivations.

Cites Work

• Gel'fand-kirillov dimension of twisted laurent extensions
• On Gelfand-Kirillov Transcendence Degree
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