Krull Dimension of Modules and Involutive Ideals

DOI10.2307/2160972zbMath0839.16018OpenAlexW4233265462MaRDI QIDQ4845869

S. C. Coutinho

Publication date: 20 June 1996

Full work available at URL: https://doi.org/10.2307/2160972

zbMATH Keywords

Krull dimensioncharacteristic varietygood filtrationGel'fand-Kirillov dimensionBernstein filtration\(n\)th Weyl algebraassociated grade algebrainvolutive homogeneous irreducible subvarieties

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Rings of differential operators (associative algebraic aspects) (16S32) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items

Endomorphisms of Verma modules for rational Cherednik algebras ⋮ On involutive homogeneous varieties and representations of Weyl algebras ⋮ Extensions of modules over Weyl algebras

Cites Work

• Non-holonomic modules over Weyl algebras and enveloping algebras
• Algebraic varieties preserved by generic flows
• On non-holonomic irreducible \(D\)-modules
• The Integrability of the Characteristic Variety
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