Rings characterized by cyclic modules

DOI10.1017/S0017089500007801zbMath0682.16023MaRDI QIDQ4731333

Phan Dan, Dinh Van Huynh

Publication date: 1989

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

cyclic modulesJacobson radicaldirect sumcyclic right R-modulesemi-simple modulegeneralized uniserial ringsimple domainright PCI-ringsemi-simple artinian

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80)

Related Items (1)

Cyclic modules whose quotients have all complement submodules direct summands

Cites Work

• Unnamed Item
• On rings whose simple modules are injective
• A Right PCI Ring is Right Noetherian
• A CHARACTERISATION OF RIGHT NOETHERIAN RINGS
• Rings Whose Cyclic Modules are Injective or Projective
• Rings Characterized by their Cyclic Modules

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