Torsion theories over commutative rings

DOI10.1016/0021-8693(86)90103-1zbMath0601.13005OpenAlexW4205793484MaRDI QIDQ1080892

Willy Brandal, Erol Barbut

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90103-1

zbMATH Keywords

h-local domainhereditary torsion theories in commutative rings

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Local rings and semilocal rings (13H99) Torsion theory for commutative rings (13D30) Rings of fractions and localization for commutative rings (13B30) Torsion modules and ideals in commutative rings (13C12)

Related Items (3)

Completions of commutative topological rings ⋮ Rings that are FGC relative to filters of ideals ⋮ Prime ideals and finiteness conditions for Gabriel topologies over commutative rings

Cites Work

• Unnamed Item
• Commutative rings whose finitely generated modules decompose
• Localization of injective modules
• Localizations of torsion theories
• Serial modules and endomorphism rings
• On h-Local Integral Domains
• Almost Maximal Integral Domains and Finitely Generated Modules
• Cotorsion modules
• Decomposable Modules
• The Decomposability of Torsion Free Modules of Finite Rank
• Coherent Rings and Fp -Injective Modules

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