Modules sans torsion et modules injectifs sur les algèbres de Lie resolubles

DOI10.1016/0021-8693(83)90141-2zbMath0512.17002OpenAlexW1986698136WikidataQ115367147 ScholiaQ115367147MaRDI QIDQ1839303

Yanyan Li

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90141-2

zbMATH Keywords

gradetorsion-free moduleuniversal enveloping algebrareflexive moduleExt functorminimal injective resolutionalgebraic Lie algebranon-commutative version of Bourbaki's theoremsoluble Lie algebra

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Universal enveloping (super)algebras (17B35) Homological methods in Lie (super)algebras (17B55) Solvable, nilpotent (super)algebras (17B30) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Homological methods in associative algebras (16Exx)

Related Items (12)

Unnamed Item ⋮ Représentations injectives d'algèbres de lie resolubles ⋮ Localization in rings equipped with an action of a solvable Lie algebra ⋮ On a theorem of barou and malliavin ⋮ Condition d'évitement et localisation des algèbres enveloppantes d’algèbres de lie résolubles ⋮ Primitive localizations of an enveloping algebra ⋮ The Frobenius semiradical of a Lie algebra. ⋮ Localization and Catenarity in Iterated Differential Operator Rings ⋮ Localization and Catenarity in Strongly Graded Rings ⋮ Localisation in rings equipped with a solvable Lie algebra action ⋮ Cohomology of bimodules over enveloping algebras ⋮ Sur la résolution injective minimale de l'algèbre enveloppante d'une algèbre de Lie résoluble. (On the minimal injective resolution of the enveloping algebra of a solvable Lie algebra)

Cites Work

• Injective modules over Noetherian rings
• Anneaux de Krull non commutatifs
• Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
• On the ubiquity of Gorenstein rings
• The Structure of Prime Rings Under Ascending Chain Conditions
• Grade des modules sur certains anneaux filtres
• Gelfand-kirillov dimension and affine pi rings
• Sur la dimension de gelfand-kirillov
• Representations of Solvable Lie Algebras and the Gelfand-Kirillov Conjecture
• Module Structure of Weyl Algebras
• Sur les quotients premiers de l'algèbre enveloppante d'une algèbre de Lie résoluble
• Localization and the AR Property
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