Δ-modules and prime links

DOI10.1080/00927878708823538zbMath0629.16008OpenAlexW2060005198MaRDI QIDQ3765931

Ann K. Boyle, Karl A. Kosler

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00927878708823538

zbMATH Keywords

prime idealsright Noetherian ringsemisimple Artinian\(\Delta \)-moduledescending chain condition on annihilatorsassassinatorsemicritical socle seriesindecomposable \(\Delta \)- injective moduleKrull composition factorright links

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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)

Related Items (2)

Localization at collections of minimal primes ⋮ Links ore sets, and classical localizations

Cites Work

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• The endomorphism ring of a Delta-module over a right Noetherian ring
• Two-sided localization in Noetherian PI-rings
• Descending chains of submodules and the Krull-dimension of noetherian modules
• α-Injectives and the semicritical socle series
• Modules △,-injectifs sur les anneaux à dimension de krull
• Les t-anneaux, la condition (H) de gabriel et ses consequences
• Smooth noetherian modules
• Ideal invariance and localization
• Injective modules and classical localization in Noetherian rings

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