scientific article

zbMath0526.16001MaRDI QIDQ3041361

Manabu Harada

Publication date: 1983

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Morita contextsprojective modulessemisimple modulesGoldie dimensionlifting propertyinjective modulesQF ringsquasi-injective modulesexchange propertyextending propertycompletely indecomposable modulesfactor categorydirect decomposition of modulesKrull-Remak-Schmidt- Azumaya theorem

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Quasi-Frobenius rings (16L60) Other classes of modules and ideals in associative algebras (16D80) Research exposition (monographs, survey articles) pertaining to category theory (18-02) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items (32)

Radical endomorphisms of decomposable modules. ⋮ Rings for which certain modules are \(CS\) ⋮ Continuous modules are clean. ⋮ Topologically semisimple and topologically perfect topological rings ⋮ OnH-supplemented modules over a right perfect ring ⋮ Modules with indecomposable decompositions that complement maximal direct summands ⋮ On generalized injective modules and almost injective modules ⋮ Every Σ-CS-module has an indecomposable decomposition ⋮ On σ-extending modules ⋮ Copure semisimple categories and almost split maps. ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Lifting modules with finite internal exchange property and direct sums of hollow modules ⋮ H-supplemented Modules and Generalizations of Quasi-discrete Modules ⋮ Lifting Modules Over Right Perfect Rings ⋮ Lifting Property of Direct Sums of Hollow Modules ⋮ Almost M-projectives and Nakayama rings ⋮ On (semi)regularity and the total of rings and modules. ⋮ Lifting Modules with Indecomposable Decompositions ⋮ Modules over discrete valuation domains. II ⋮ On Direct Sums of Lifting Modules and Internal Exchange Property ⋮ Skew-injective modules ⋮ Nonsingular semiperfect CS-rings ⋮ Infinite Direct Sums of Lifting Modules ⋮ On Direct ProjectiveH-Supplemented Modules ⋮ Big direct sums of copies of a module have well behaved indecomposable decompositions ⋮ Harada modules ⋮ Strongly Discrete Modules ⋮ On weak co-\(H\)-sequences in two-sided Harada rings ⋮ Direct sums of representations as modules over their endomorphism rings ⋮ On direct sums of extending modules and internal exchange property ⋮ Direct sums of indecomposable injective modules

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