Catenarity and Gelfand-Kirillov dimension in Ore extensions

DOI10.1016/0021-8693(89)90261-5zbMath0688.16004OpenAlexW2037259079MaRDI QIDQ1263644

Gunnar Sigurdsson, Allen D. Bell

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90261-5

zbMATH Keywords

Krull dimensionGelfand-Kirillov dimensioncatenarity for Ore extensionscatenary ringsheight formulasaturated chain of prime ideals

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (7)

La formule des hausteurs de tauvel dans les anneaux d'operateurs differentiels ⋮ Prime Ideals in Differential Operator Rings. Catenarity ⋮ Prime ideals in skew Laurent polynomial rings ⋮ Catenarity in rings with abelian group action ⋮ Tauvel’s height formula for quantum nilpotent algebras ⋮ Poisson catenarity in Poisson nilpotent algebras ⋮ Catenarity in quantum nilpotent algebras

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