The Differential Operator Ring of an Affine Curve

DOI10.2307/2001194zbMath0668.16007OpenAlexW4231856258MaRDI QIDQ3820741

Jerry L. Muhasky

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001194

zbMATH Keywords

differential operatorsring of differential operatorscoordinate ringaffine algebraic curveKrull dimension onereduced finitely generated commutative k-algebra

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Special algebraic curves and curves of low genus (14H45) Morphisms of commutative rings (13B10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (10)

Noetherian properties of rings of differential operators of affine semigroup algebras. ⋮ Rings of differential operators and zero divisors ⋮ Idealizers in the second Weyl algebra ⋮ Noncommutative Noether's problem vs classic Noether's problem ⋮ Differential operators, retracts, and toric face rings ⋮ Differential operators on Stanley-Reisner rings ⋮ Differential operators on rational projective curves ⋮ \textit{LD}-stability for Goldie rings ⋮ Symmetry on rings of differential operators ⋮ The Artin algebras associated with differential operators on singular affine curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on higher derivations and ordinary points of curves
• A generalization of Quillen's lemma and its application to the Weyl algebras
• Introduction to Grothendieck duality theory
• Some Rings of Differential Operators Which are Morita Equivalent to the Weyl Algebra A 1
• ORDERS EQUIVALENT TO THE FIRST WEYL ALGEBRA
• Differential Operators on an Affine Curve
• Differential Operators on Affine Algebras
• On the transfer of properties to subidealizer rings
• HEIGHT PLUS DIFFERENTIAL DIMENSION IN COMMUTATIVE NOETHERIAN RINGS
• DIFFERENTIAL OPERATORS ON A CUBIC CONE

This page was built for publication: The Differential Operator Ring of an Affine Curve