Catenarity in a class of iterated skew polynomial rings

DOI10.1080/00927879708825838zbMath0872.16018OpenAlexW2016138859MaRDI QIDQ3123187

Sei-Qwon Oh

Publication date: 17 August 1997

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

Full work available at URL: https://doi.org/10.1080/00927879708825838

zbMATH Keywords

Gelfand-Kirillov dimensionquantum Euclidean spacesquantum symplectic spacesCohen-Macaulay propertyquantized Weyl algebrascatenarityprime spectraiterated skew polynomial algebrasnormal separationAuslander regularityTauvel's height formulaone-parameter coordinate rings

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary and skew polynomial rings and semigroup rings (16S36) Growth rate, Gelfand-Kirillov dimension (16P90) Ideals in associative algebras (16D25) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (11)

The Dixmier-Moeglin equivalence and a Gel’fand-Kirillov problem for Poisson polynomial algebras ⋮ A signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings. ⋮ On a class of iterated Ore extensions. ⋮ PI degree parity in \(q\)-skew polynomial rings. ⋮ Prime and primitive ideals of a class of iterated skew polynomial rings ⋮ The Prime and Primitive Spectra of Multiparameter Quantum Symplectic and Euclidean Spaces ⋮ Tauvel’s height formula for quantum nilpotent algebras ⋮ Dérivations de L'anneau des Coordonnées de L'espace Quantique Symplectique ⋮ Primitive ideals in the coordinate ring of quantum Euclidean space ⋮ Inégalité de Bernstein Pour Une Localisation Simple de L'espace Symplectique Quantique ⋮ Catenarity in quantum nilpotent algebras

Cites Work

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• A simple localization of the quantized Weyl algebra
• Primitive ideals of the coordinate ring of quantum symplectic space
• Catenarity in quantum algebras
• The quantum coordinate ring of the special linear group
• Crossed Products and Multiplicative Analogues of Weyl Algebras
• Prime ideals in skew and 𝑞-skew polynomial rings

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