All finitely generatedM-subgenerated modules are extending

DOI10.1080/00927879608825585zbMath0847.16006OpenAlexW1978368005MaRDI QIDQ4874702

N. Vanaja

Publication date: 30 September 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825585

zbMATH Keywords

direct summandsextending modulesfinitely generated left modulesdirect sum of indecomposable modulessubmodules of \(M\)-generated modulesdirect sum of ringsSI-domains

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (14)

Conditions for a ring to be Noetherian or Artinian ⋮ MODULES WITH FULLY INVARIANT SUBMODULES ESSENTIAL IN FULLY INVARIANT SUMMANDS ⋮ Retractable and coretractable modules. ⋮ Split objects with respect to a fully invariant short exact sequence in abelian categories ⋮ A GENERALIZATION OF MULTIPLICATION MODULES ⋮ Extending modules which are direct sums of injective modules and semisimple modules ⋮ \(I_0^*\)-modules ⋮ ONX-EXTENDING ANDX-CONTINUOUS MODULES ⋮ LATTICE DECOMPOSITION OF MODULES ⋮ Decomposition of comodules ⋮ Localization on certain Grothendieck categories ⋮ Extending modules with injective or semisimple summands ⋮ (Generalized) tilting modules with respect to the category σ[M] ⋮ Decompositions of modules into projective modules and CS-modules

Cites Work

• Unnamed Item
• Cyclic modules whose quotients have all complement submodules direct summands
• Characterisations of generalised un i serial rings in terms of factor rings
• Relative injectivity and module classes

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