Infinite Goldie dimensions

DOI10.1016/0021-8693(88)90257-8zbMath0642.16021OpenAlexW2006781958MaRDI QIDQ1101532

John Dauns, László Fuchs

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90257-8

zbMATH Keywords

Goldie dimensioninaccessible cardinalattained cardinal

Mathematics Subject Classification ID

Large cardinals (03E55) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (23)

COHERENCE ⋮ On the Goldie dimension of rings and modules. ⋮ Generalized finiteness conditions ⋮ László Fuchs' 70th birthday ⋮ Module types ⋮ Modules with chain condition on uncountably generated submoduled ⋮ Dimension of uncountably generated submodules ⋮ ON PRIME RINGS AND THE RADICALS ASSOCIATED WITH THEIR DEGREES OF PRIMENESS ⋮ Torsion free modules ⋮ Unified min-max and interlacing theorems for linear operators ⋮ An infinite cardinal-valued Krull dimension for rings ⋮ Direct-sum decompositions of modules with semilocal endomorphism rings ⋮ DIMENSION MODULES AND MODULAR LATTICES ⋮ Goldie dimensions of quotient modules ⋮ A linear property of Goldie dimension of modules and modular lattices. ⋮ LINEAR PROPERTIES OF GOLDIE DIMENSION OF MODULES AND MODULAR LATTICES ⋮ Generalized pure modules ⋮ Module classifying functors ⋮ Essential Ideals in Rings of Measurable Functions ⋮ On infinite Goldie dimension ⋮ Avoiding modules, co-avoiding modules, Goldie dimension and its dual ⋮ Injective modules and divisible modules over hereditary rings. ⋮ A Note on Dimension Modules

Cites Work

• Uniform dimension and subdirect products
• Decompositions of injective modules
• On families of mutually exclusive sets
• Unnamed Item
• Unnamed Item

This page was built for publication: Infinite Goldie dimensions