On the Atomic Dimension in Module Categories

DOI10.1080/00927870500276700zbMath1092.16016OpenAlexW2004677876MaRDI QIDQ5719294

Jaime Castro Pérez, José Ríos Montes, Francisco Raggi, John E. van den Berg

Publication date: 18 January 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500276700

zbMATH Keywords

irreducible elementscategories of left modulesGabriel dimensionatomic latticesatomic dimensionlattices of hereditary torsion theories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (6)

Prime Submodules and Local Gabriel Correspondence in σ[M] ⋮ Decisive dimension and other related torsion theoretic dimensions. ⋮ Some aspects about the lattice [τ _g ,χ and the torsion theories of Kaplansky-type] ⋮ Some operators and dimensions in modular meet-continuous lattices ⋮ FBN Modules ⋮ Torsion theoretic dimensions and relative Gabriel correspondence.

Cites Work

• Unnamed Item
• Near-discreteness of modules and spaces as measured by Gabriel and Cantor
• The Gabriel dimension of a module
• Torsion theoretic dimensions and relative Gabriel correspondence.
• On the structure of selfinjective regular rings
• On the Ring of Quotients of a Boolean Ring
• On Maximal Torsion Radicals

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