Gelfand-kirillov dimension of skew polynomial rings of automorphism type

DOI10.1080/00927879608825702zbMath0856.16029OpenAlexW2021406811MaRDI QIDQ4889390

Chol On Kim, Chan Huh

Publication date: 16 February 1997

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879608825702

zbMATH Keywords

Gelfand-Kirillov dimensionskew polynomial algebraslocally finite-dimensional algebrasskew polynomial rings of automorphism type

Mathematics Subject Classification ID

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

Related Items (11)

Survey on Hopf algebras of GK-dimension 1 and 2 ⋮ GK DIMENSION AND LOCALLY NILPOTENT SKEW DERIVATIONS ⋮ Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras ⋮ Polynomials and Weyl algebras on time scales ⋮ NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO ⋮ Gelfand–Kirillov dimension of generalized Weyl algebras (In memory of Guenter Rudolf Krause (1941–2015)) ⋮ Connected Hopf algebras and iterated Ore extensions. ⋮ Rational equivalence of classical and quantum polynomial algebras. ⋮ Gelfand–Kirillov dimension of differential difference algebras ⋮ Catenarity in quantum nilpotent algebras ⋮ Some algebras similar to the 2×2 Jordanian matrix algebra

Cites Work

• Unnamed Item
• On Gelfand-Kirillov dimension and related topics
• On the Gelfand-Kirillov dimension of skew polynomial rings
• Affine algebras of Gelfand-Kirillov dimension one are PI

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