Generalized Weyl algebras are tensor Krull minimal

DOI10.1006/jabr.2000.8641zbMath1013.16014OpenAlexW1970435907MaRDI QIDQ5942787

Vladimir V. Bavula, Thomas H. Lenagan

Publication date: 6 April 2003

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

Full work available at URL: https://semanticscholar.org/paper/5e84b744f12e2b7966199580792effc8acfc2bba

zbMATH Keywords

tensor productsKrull dimensionNoetherian ringsdown-up algebrasgeneralized Weyl algebrasskew Laurent extensions

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

The group of automorphisms of the Jacobian algebra \(\mathbb A_n\). ⋮ Pseudo-unitarizable weight modules over generalized Weyl algebras. ⋮ Simple modules of the Witten-Woronowicz algebra. ⋮ Stable rank of down-up algebras ⋮ Some Homological Properties of SkewPBWExtensions ⋮ INJECTIVE MODULES OVER DOWN-UP ALGEBRAS ⋮ Down–up algebras over a polynomial base ring 𝕂[t₁,…,t_n] ⋮ Krull dimension of generalized Weyl algebras with noncommutative coefficients ⋮ EXAMPLES OF FCR-ALGEBRAS

Cites Work

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• Krull dimensions of the enveloping algebra of sl(2,C)
• Krull dimension of skew-Laurent extensions
• Krull dimension of generalized Weyl algebras and iterated skew polynomial rings: Commutative coefficients
• Down-up algebras and ambiskew polynomial rings
• Krull dimension of generalized Weyl algebras with noncommutative coefficients
• The krull dimension of skew laurent extensions of commutative nofthepian rings
• Noetherian down-up algebras

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