Links ore sets, and classical localizations

DOI10.1080/00927879108824257zbMath0732.16024OpenAlexW2166177828MaRDI QIDQ3358898

Mark L. Teply

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824257

zbMATH Keywords

linksinjective hullminimal prime idealsleft Krull dimensionhereditary torsion theoryleft Ore sets\(\tau \) -closed prime idealsDCC on \(\tau \) -closed left idealsminimal \(\tau \) -primitive idealssecond layer

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (1)

On classical artinian localizations

Cites Work

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• Modules semicocritical with respect to a torsion theory and their applications
• The rational Loewy series and nilpotent ideals of endomorphism rings
• Localization at collections of minimal primes
• The descending chain condition relative to a torsion theory
• Δ-Modules and semicocritical modules
• Linked Injectives and Ore Localizations
• Δ-modules and prime links
• α-coprimitive ideals and α-indecomposable injectives
• Anneaux de quotients et modules ∑(▵)-injectifs
• Noetherian Full Quotient Rings
• Injective modules with both ascending and descending chain conditions on annihilators
• Finitely annihilated modules and orders in artinian rings
• Localization of Right Noetherian Rings at Semiprime Ideals
• Rings and modules of quotients

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