When rings of differential operators are maximal orders

DOI10.1017/S0305004100067451zbMath0657.16003MaRDI QIDQ3804848

Marc Chamarie, J. Toby Stafford

Publication date: 1987

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

zbMATH Keywords

Krull domainmaximal orderOre domainquotient division ringring of k-linear differential operatorsgeometrically unibranched

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Localization and associative Noetherian rings (16P50) Modules of differentials (13N05) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (6)

Noetherian properties of rings of differential operators of affine semigroup algebras. ⋮ SIMPLICITY CRITERIA FOR RINGS OF DIFFERENTIAL OPERATORS ⋮ Operateurs differentiels sur les algebres non reduites ⋮ Ideaux a droite reflexifs dans l'algebre des operateurs differentiels ⋮ Cherednik algebras and differential operators on quasi-invariants. ⋮ Cusps and 𝒟-modules

Cites Work

• Unnamed Item
• Modules over prime Krull rings
• Remarks on a conjecture of Nakai
• Anneaux de Krull non commutatifs
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Differential Operators on some Singular Surfaces
• Differential Operators on Affine Algebras
• Module Structure of Weyl Algebras
• DIFFERENTIAL OPERATORS ON A CUBIC CONE

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