Extending modules with injective or semisimple summands

DOI10.1016/S0022-4049(96)00156-9zbMath0934.16003WikidataQ114122620 ScholiaQ114122620MaRDI QIDQ1295508

Catarina Santa-Clara

Publication date: 27 January 2000

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

zbMATH Keywords

direct sumssemisimple modulesdirect summandsinjective modulesextending modulesfinite exchange propertyrelative injectivityright Noetherian right \(V\)-rings

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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items

A characterization of extending trivial Morita contexts ⋮ Two Open Questions On Goldie Extending Modules ⋮ On \(\tau\)-extending modules. ⋮ Utumi modules ⋮ ONX-EXTENDING ANDX-CONTINUOUS MODULES ⋮ MIXED INJECTIVE MODULES ⋮ Rings Over Which Every Module Is Almost Injective ⋮ Modules close to the automorphism-invariant and coinvariant ⋮ Noetherian rings with almost injective simple modules ⋮ A characterization of extending generalized triangular matrix rings ⋮ On lifting modules ⋮ Triangular matrix rings of selfinjective rings ⋮ T-continuous modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extending modules over commutative domains
• Classes of modules with the exchange property
• On rings whose projective modules have the exchange property
• On perfect rings and the exchange property
• On indecomposable decompositions of \(CS\)-modules. II
• Refinements for infinite direct decompositions of algebraic systems
• Modules with decompositions that complement direct summands
• Extending modules which are direct sums of injective modules and semisimple modules
• All finitely generatedM-subgenerated modules are extending
• A Krull-Schmidt Theorem for Infinite Sums of Modules