Module extensions over Noetherian rings

DOI10.1016/0021-8693(81)90201-5zbMath0471.16012OpenAlexW1996660214MaRDI QIDQ1157381

Kenneth A. Brown

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90201-5

zbMATH Keywords

finitely generated modulesocleprimary decompositionfully bounded Noetherian ringessential submoduleArtinian quotient ringssmooth rings

Mathematics Subject Classification ID

Group rings (16S34) Universal enveloping (super)algebras (17B35) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Centralizing and normalizing extensions (16S20)

Related Items (13)

Unnamed Item ⋮ Localization and ideal theory in Noetherian strongly group-graded rings ⋮ Localization and ideal theory in iterated differential operator rings ⋮ A nonembeddable Noetherian ring ⋮ Représentations injectives d'algèbres de lie resolubles ⋮ On a theorem of barou and malliavin ⋮ The Cohen Macaulay property for noncommutative rings ⋮ Noetherian bimodules, primary decomposition, and Jacobson's conjecture ⋮ Embedding Noetherian rings in Artinian rings ⋮ 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) ⋮ Stable torsion radicals over Noetherian rings ⋮ Localisation at cliques in group rings

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