Torsion theoretic dimensions and relative Gabriel correspondence.

DOI10.1016/S0022-4049(02)00158-5zbMath1041.16020OpenAlexW2131892215MaRDI QIDQ1861497

Jaime Castro Pérez, Mark L. Teply, José Ríos Montes

Publication date: 9 March 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(02)00158-5

zbMATH Keywords

hereditary torsion theoriesGabriel dimensionfully bounded Noetherian rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Localization and associative Noetherian rings (16P50)

Related Items (5)

Prime Submodules and Local Gabriel Correspondence in σ[M] ⋮ Decisive dimension and other related torsion theoretic dimensions. ⋮ Some operators and dimensions in modular meet-continuous lattices ⋮ FBN Modules ⋮ On the Atomic Dimension in Module Categories

Cites Work

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• The nilpotence of the \(\tau\)-closed prime radical in rings with \(\tau\)-Krull dimension
• Idealizers and hereditary Noetherian prime rings
• On fully left bounded left Noetherian rings
• The Local gabriel correspondence
• Local bijective gabriel correspondence and relative fully boundedness in τ-noetherian rings
• Homological properties of the ring of differential polynomials
• On the Atomic Dimension in Module Categories
• Bijective relative Gabriel correspondence over rings with torsion theoretic Krull dimension

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