Modules with indecomposable decompositions that complement maximal direct summands

DOI10.1006/JABR.1997.7114zbMath0887.16005OpenAlexW2070583214MaRDI QIDQ1375355

Nguyen Viet Dung

Publication date: 25 May 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7114

zbMATH Keywords

complementsindecomposable decompositionsextending moduleslocal endomorphism ringslocal direct summands\(CS\)-moduleslocally semi-\(T\)-nilpotent familiesmaximal direct summands

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (12)

OJECTIVE MODULES ⋮ On Goldie-extending modules with finite internal exchange property ⋮ Almost projective modules and generalized projective modules ⋮ Dual CS-Rickart modules over Dedekind domains ⋮ CS-Baer and dual CS-Baer objects in abelian categories ⋮ Every Σ-CS-module has an indecomposable decomposition ⋮ Lifting modules with finite internal exchange property and direct sums of hollow modules ⋮ Strong preinjective partitions and almost split morphisms ⋮ Lifting Property of Direct Sums of Hollow Modules ⋮ Indecomposable decompositions of pure-injective objects and the pure-semisimplicity. ⋮ Indecomposable decompositions of pure-injective modules ⋮ Big direct sums of copies of a module have well behaved indecomposable decompositions

Cites Work

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• A generalization of quasi-Frobenius rings
• On generalized uniserial rings and decompositions that complement direct summands
• Modules with decompositions that complement direct summands
• On the Sparsity of Representations of Rings of Pure Global Dimension Zero
• On Rings whose Left Modules are Direct Sums of Finitely Generated Modules
• Note on Rings of Finite Representation Type and Decompositions of Modules
• A Krull-Schmidt Theorem for Infinite Sums of Modules

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