Rings whose modules are \(\oplus\)-supplemented

DOI10.1006/JABR.1998.7830zbMath0942.16004OpenAlexW2019719306MaRDI QIDQ1306898

Derya Keskin, Patrick F. Smith, Weimin Xue

Publication date: 20 December 1999

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

Full work available at URL: http://hdl.handle.net/11655/19707

zbMATH Keywords

finitely generated modulesuniserial moduleslifting modulesserial ringsdirect sums of cyclic modulesfinitely presented modules\(\oplus\)-supplemented modules

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (15)

Unnamed Item ⋮ Rad-discrete modules ⋮ Unnamed Item ⋮ On supplement submodules. ⋮ Epi-superfluous submodules and epi-Artinian modules ⋮ Generalizations of \(\oplus\)-supplemented modules. ⋮ Rings whose pure-injective right modules are direct sums of lifting modules. ⋮ Generalized lifting modules. ⋮ D3-Modules ⋮ Generalized \(\oplus\)-radical supplemented modules. ⋮ Rings whose cyclic modules are lifting and ⊕-supplemented ⋮ ⊕-Cofinitely Supplemented Modules ⋮ On strongly \(\oplus\)-supplemented modules. ⋮ When Finitely Generated δ-Supplemented Modules Are Supplemented ⋮ Unnamed Item

Cites Work

• On \(\oplus\)-supplemented modules
• Commutative rings whose finitely generated modules decompose
• Serial rings and finitely presented modules
• Modules with every subgenerated module lifting
• On indecomposable injectives over artinian rings
• On a class of balanced non-uniserial rings
• Modules with decompositions that complement direct summands
• Decomposition of modules over right uniserial rings
• Characterisations of generalised un i serial rings in terms of factor rings
• Decomposition of modules over serial rings
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