Decisive dimension and other related torsion theoretic dimensions.

DOI10.1016/j.jpaa.2006.05.026zbMath1113.16035OpenAlexW1979874487MaRDI QIDQ863903

Francisco Raggi, José Ríos Montes, Jaime Castro Pérez

Publication date: 12 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.05.026

zbMATH Keywords

hereditary torsion theoriesleft Artinian ringsleft semi-Artinian ringscategories of left modulesdecisive dimensiondecisive modulestorsion theoretic dimensions

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Artinian rings and modules (associative rings and algebras) (16P20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items

Prime Submodules and Local Gabriel Correspondence in σ[M]

Cites Work

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• The Gabriel dimension of a module
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• Goldman's primary decomposition and the tertiary decomposition
• Le spectre à gauche d'un anneau
• The spectrum of a ring as a partially ordered set
• Incompressible critical modules
• 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