On a class of non-noetherian V-ring

DOI10.1080/00927879608825716zbMath0856.16003OpenAlexW2075764912MaRDI QIDQ4890686

Dinh Van Huynh, Surender Kumar Jain, Sergio R. López-Permouth

Publication date: 23 October 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825716

zbMATH Keywords

Morita equivalent ringsinjective right modulescyclic right modulesright \(V\)-ringssingular simple right modulesright \(SI\)-ringsinfinitely generated right socle

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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (6)

Unnamed Item ⋮ Some results on V-rings and weakly V-rings. ⋮ Rings whose modules have maximal or minimal injectivity domains. ⋮ Rings Whose CS Modules Are Countably Σ-CS ⋮ On Σ-VRings ⋮ Infinite Direct Sums of Lifting Modules

Cites Work

• Unnamed Item
• Quasi-injective modules with acc or dcc on essential submodules
• Cyclic modules whose quotients have all complement submodules direct summands
• Rings Whose Cyclic Modules are Injective or Projective
• Rings Characterized by their Cyclic Modules

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