Localization, catenarity and dimensions in rings equipped with a Lie algebra action

DOI10.1006/JABR.1995.1339zbMath0837.17004OpenAlexW2001808297WikidataQ115396145 ScholiaQ115396145MaRDI QIDQ1904070

Thomas Guédénon

Publication date: 21 May 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1339

zbMATH Keywords

global dimensionsmash productscatenarityinjective dimensionsLie algebra of derivationsheights of prime idealslocalisation of prime ideals

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Rings of differential operators (associative algebraic aspects) (16S32) Smash products of general Hopf actions (16S40)

Related Items (6)

Localization in rings equipped with an action of a solvable Lie algebra ⋮ Localization and Catenarity in Iterated Differential Operator Rings ⋮ PROJECTIVITY AND FLATNESS OF A MODULE OVER THE SUBRING OF INVARIANTS ⋮ Catenarity in rings with abelian group action ⋮ Localization and Catenarity in Strongly Graded Rings ⋮ Localisation in rings equipped with a solvable Lie algebra action

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