Global and Krull dimensions of quantum Weyl algebras

DOI10.1006/jabr.1998.7790zbMath0933.16022OpenAlexW2052076749MaRDI QIDQ1305041

Hisaaki Fujita, Ellen E. Kirkman, James J. Kuzmanovich

Publication date: 18 January 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7790

zbMATH Keywords

global dimensionsgeneralized Weyl algebrasKrull dimensionsquantized Weyl algebras

Mathematics Subject Classification ID

Related Items (8)

Quantized Weyl algebras at roots of unity ⋮ Gelfand–Kirillov dimension of generalized Weyl algebras (In memory of Guenter Rudolf Krause (1941–2015)) ⋮ Hochschild homology and cohomology of some classical and quantum noncommutative polynomial algebras. ⋮ Gorensteinness of invariant subrings of quantum algebras ⋮ The isomorphism problem for multiparameter quantized Weyl algebras. ⋮ Some Homological Properties of SkewPBWExtensions ⋮ Rational equivalence of classical and quantum polynomial algebras. ⋮ Dérivations des Algèbres de Weyl Quantiques Multiparamétrées et de Certaines de leurs Localisations Simples

Cites Work

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• Prime ideals in skew polynomial rings and quantized Weyl algebras
• On the field of fractions of certain quantum algebras
• Quantum Weyl algebras
• Crossed Products and Multiplicative Analogues of Weyl Algebras
• Malcev-neumann group rings
• On Ordered Division Rings
• Covariant differential calculus on the quantum hyperplane

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