Krull dimension of generalized Weyl algebras with noncommutative coefficients

DOI10.1006/jabr.2000.8466zbMath0998.16014OpenAlexW2039342738MaRDI QIDQ1840619

Vladimir V. Bavula, Thomas H. Lenagan

Publication date: 25 August 2002

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

Full work available at URL: https://semanticscholar.org/paper/e9ba08b133740c5ec45a8a061dc4b72fbc0aa4ae

zbMATH Keywords

automorphismsKrull dimensiongeneralized Weyl algebrasleft Noetherian ringsclean modules

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) Twisted and skew group rings, crossed products (16S35) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

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Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras ⋮ Hochschild homology and cohomology of generalized Weyl algebras. ⋮ The group of automorphisms of the Jacobian algebra \(\mathbb A_n\). ⋮ Gelfand–Kirillov dimension of generalized Weyl algebras (In memory of Guenter Rudolf Krause (1941–2015)) ⋮ Some Homological Properties of SkewPBWExtensions ⋮ Generalized Weyl algebras are tensor Krull minimal ⋮ ISOMORPHISMS BETWEEN QUANTUM GENERALIZED WEYL ALGEBRAS

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