Critical modules over the second Weyl algebra

DOI10.1016/S0022-4049(97)00116-3zbMath0944.16024OpenAlexW1972772273MaRDI QIDQ1295668

S. C. Coutinho

Publication date: 28 June 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00116-3

zbMATH Keywords

Weyl algebrasfinitely generated modulesderivationsirreducible modulesmaximal submodulescritical modules

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Growth rate, Gelfand-Kirillov dimension (16P90) Derivations, actions of Lie algebras (16W25) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Cites Work

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• \(d\)-critical modules of length 2 over Weyl algebras
• Non-holonomic modules over Weyl algebras and enveloping algebras
• Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
• On non-holonomic irreducible \(D\)-modules
• Equations de Pfaff algébriques
• Krull dimension

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