Gabriel dimension and spectral torsion theories

DOI10.1080/00927879508825334zbMath0829.16020OpenAlexW2045868602MaRDI QIDQ4834899

María José Arroyo Paniagua, José Ríos Montes

Publication date: 25 June 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825334

zbMATH Keywords

Goldie torsion theoryquotient categoriescategories of left modulesGabriel dimensionspectral torsion theories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

• Unnamed Item
• The Gabriel dimension of a module
• V-rings relative to gabriel topologies
• Spectral gabriel topologies and relative singular functors
• Global dimensions of right coherent rings with left Krull dimension
• Semisimple rings of quotients
• Some aspects of spectral torsion theories
• Some relations between gabriel dimension and the goldie torsion theory
• Krull dimension

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