Rings whose finitely generated modules are extending

DOI10.1016/0022-4049(95)00154-9zbMath0857.16003OpenAlexW2045855136MaRDI QIDQ5917833

Dinh Van Huynh, S. Tariq Rizvi, Mohamed F. Yousif

Publication date: 25 November 1996

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(95)00154-9

zbMATH Keywords

finitely generated modulesdirect summandsright Noetherian ringscomposition seriesextending modulessocleuniserial modulecountably generated modules\(V\)-modules

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 (8)

Conditions for a ring to be Noetherian or Artinian ⋮ p-semisimple modules and type submodules ⋮ On some classes of Artinian rings ⋮ RINGS OVER WHICH CYCLICS ARE DIRECT SUMS OF PROJECTIVE AND CS OR NOETHERIAN ⋮ Strongly semihereditary rings and rings with dimension. ⋮ Some results and questions on left-right symmetry ⋮ Projectivity relative to closed (neat) submodules ⋮ Decompositions of modules into projective modules and CS-modules

Cites Work

• Cyclic modules whose quotients have all complement submodules direct summands
• On modules with finite uniform and Krull dimension
• Rings for which certain modules are \(CS\)
• Modules with decompositions that complement direct summands
• A note on GV-modules with Krull dimension
• Injective modules over twisted polynomial rings
• Singular torsion and the splitting properties
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