d-Simple rings and simple -modules

DOI10.1017/S0305004198002965zbMath0935.16017MaRDI QIDQ4238775

S. C. Coutinho

Publication date: 10 February 2000

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

zbMATH Keywords

Weyl algebrasderivationsrings of differential operatorsquadric surfacesnon-holonomic simple modulesGelfand-Kirillov dimensionssmooth affine varieties\(d\)-simple rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Growth rate, Gelfand-Kirillov dimension (16P90) Sheaves of differential operators and their modules, (D)-modules (32C38) Graded rings and modules (associative rings and algebras) (16W50) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (13)

A family of foliations with one singularity ⋮ Cyclic irreducible non-holonomic modules over the Weyl algebra: an algorithmic characterization. ⋮ On the differential simplicity of polynomial rings. ⋮ On some foliations arising in \(\mathcal D\)-module theory ⋮ Simple holonomic modules over rings of differential operators with regular coefficients of Krull dimension 2 ⋮ On the classification of simple quadratic derivations over the affine plane ⋮ Simple Shamsuddin derivations of \(K[X;Y_{1},\cdots ,Y_{n}\): An algorithmic characterization] ⋮ On the differential simplicity of affine rings ⋮ Simple Poisson-Farkas algebras and ternary Filippov algebras ⋮ ORE EXTENSIONS AND POISSON ALGEBRAS ⋮ Cyclic Maximal Ideals of Rings of Differential Operators over Power Series Rings ⋮ Differential equations and maximal ideals on the Weyl algebra \(A_2(\mathbb{C})\). ⋮ Non-holonomic simple $\mathcal D$-modules over complete intersections

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