Localisation in rings equipped with a solvable Lie algebra action

DOI10.1080/00927870008827038zbMath1062.16503OpenAlexW2048969116MaRDI QIDQ4489731

Thomas Guédénon

Publication date: 20 September 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008827038

zbMATH Keywords

crossed productscliquesprimitive idealsenveloping algebrasNoetherian algebrascompletely prime idealsactions by derivationscentralising elementsfinite-dimensional solvable Lie algebraslocalised ringsnormalising elements

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Solvable, nilpotent (super)algebras (17B30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25) Twisted and skew group rings, crossed products (16S35) Localization and associative Noetherian rings (16P50)

Related Items (2)

Localization and Catenarity in Iterated Differential Operator Rings ⋮ Isomorphism of commutative group algebras of closed $p$-groups and $p$-local algebraically compact groups

Cites Work

• Unnamed Item
• Differential operator rings whose prime factors have bounded Goldie dimension
• Prime ideals in differential operator rings and crossed products of infinite groups
• Localization in rings equipped with an action of a solvable Lie algebra
• Modules sans torsion et modules injectifs sur les algèbres de Lie resolubles
• Localization, catenarity and dimensions in rings equipped with a Lie algebra action
• On the ubiquity of Gorenstein rings
• Local Rings and Normalizing Sets of Elements

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