Stable equivalence and rings whose modules are a direct sum of finitely generated modules

DOI10.1016/0022-4049(80)90032-8zbMath0441.16028OpenAlexW2056093642MaRDI QIDQ1142830

Harlan L. Hullinger

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90032-8

zbMATH Keywords

dominant dimensionstable equivalenceleft Artinian ringdirect sum of finitely generated modulesfinitely generated A-modulesleft functor ringleft global dimensionMorita-equivalent

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Related Items

DIRECT PRODUCTS OF MODULES AND THE PURE SEMISIMPLICITY CONJECTURE ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Strong Preinjective Partitions and Representation Type of Artinian Rings ⋮ Modules

Cites Work

• Unnamed Item
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• Rings with finiteness conditions and their categories of functors
• Modules with decompositions that complement direct summands
• Direct Products of Modules
• On Rings whose Left Modules are Direct Sums of Finitely Generated Modules
• Representation theory of artin algebras iii almost split sequences
• Note on Rings of Finite Representation Type and Decompositions of Modules
• Representation Theory of Artin Algebras II
• Des catégories abéliennes
• Stable module theory