La formule des hausteurs de tauvel dans les anneaux d'operateurs differentiels

DOI10.1080/00927879308824666zbMath0796.16018OpenAlexW2148249484MaRDI QIDQ5286463

Thomas Guédénon

Publication date: 29 June 1993

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879308824666

zbMATH Keywords

crossed productsderivationsenveloping algebraGelfand-Kirillov dimensioniterated Ore extensionheight formulastable prime idealsfinite-dimensional solvable Lie algebra

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Derivations, actions of Lie algebras (16W25) Rings of differential operators (associative algebraic aspects) (16S32) Ideals in associative algebras (16D25) Twisted and skew group rings, crossed products (16S35)

Cites Work

• Prime ideals in differential operator rings and crossed products of infinite groups
• Catenarity and Gelfand-Kirillov dimension in Ore extensions
• Prime Ideals in Differential Operator Rings. Catenarity
• Chains of Prime Ideals in Enveloping Algebras of Solvable Lie Algebras

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