Noetherian bimodules, primary decomposition, and Jacobson's conjecture

DOI10.1016/0021-8693(81)90182-4zbMath0478.16011OpenAlexW2067363389WikidataQ123278022 ScholiaQ123278022MaRDI QIDQ1160695

Arun Vinayak Jategaonkar

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)90182-4

zbMATH Keywords

Krull dimensionFBN ringsinvertible idealsprimary decompositionprime Noetherian ringsHNP ringslinks between prime idealssubdirectly irreducible ringsgroup rings of polycyclic-by-finite groupschain of cellsenveloping algebras of solvable Lie algebrasNoetherian bimodules

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) Modules, bimodules and ideals in associative algebras (16Dxx) Radicals and radical properties of associative rings (16Nxx)

Related Items

Unnamed Item, Jacobson's conjecture, Morita duality and related questions, Localization and ideal theory in Noetherian strongly group-graded rings, Localization and ideal theory in iterated differential operator rings, Représentations injectives d'algèbres de lie resolubles, A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS, Noetherian completion and PI rings., An infinite construction in ring theory, Invariant subrings and Jacobson radicals of Noetherian Hopf module algebras., Associative rings, Noetherian Ring Extensions with Trace Conditions, ON SYMMETRIC RADICALS OVER FULLY SEMIPRIMARY NOETHERIAN RINGS, Finite Normalizing Extensions of FSN Rings, Solvable lie algebras polycyclic-by-finite groups and bimodule krull dimension, Stable torsion radicals over Noetherian rings, Direct sum decompositions of conformal rings

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