Krull Dimension of Differential Operator Rings. III: Noncommutative Coefficients

DOI10.2307/1999057zbMath0529.16001OpenAlexW4232937219MaRDI QIDQ3310774

Thomas H. Lenagan, Kenneth R. Goodearl

Publication date: 1983

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999057

zbMATH Keywords

heightKrull dimensionright noetheriancritical modulesdifferential operator ringfinitely generated incompressible critical modules

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Commutative Noetherian rings and modules (13E05) Morphisms of commutative rings (13B10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Modules of differentials (13N05)

Related Items (5)

Polynomial rings over rings integral over their centres ⋮ Associative rings ⋮ Krull and global dimensions of Weyl algebras over division rings ⋮ Unnamed Item ⋮ Krull dimension of generalized Weyl algebras with noncommutative coefficients

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