Krull Dimension of Differential Operator Rings IV-Multiple Derivations

DOI10.1112/plms/s3-47.2.306zbMath0498.16001OpenAlexW1994340459MaRDI QIDQ3963157

Thomas H. Lenagan, Kenneth R. Goodearl

Publication date: 1983

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-47.2.306

zbMATH Keywords

Weyl algebradepthglobal dimensionlocalizationKrull dimensionfinitely generated algebracommuting derivationsdifferential operator ringdifferential-dimensionnoetherian differential algebras

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) 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)

Related Items (5)

Critères d'induction et de coinduction pour certains anneaux d'opérateurs différentiels. (Induction and coinduction criteria for certain differential operator rings) ⋮ Cohomology of induced modules in rings of differential operators ⋮ Krull and global dimensions of Weyl algebras over division rings ⋮ Unnamed Item ⋮ Global and krull dimension of schmidt differentialoperator rings

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