A characterization of artinian rings

DOI10.1017/S0017089500007035zbMath0637.16012MaRDI QIDQ3778131

Dinh Van Huynh, Nguyen Viet Dung

Publication date: 1988

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

zbMATH Keywords

injective modulecyclic right R-modulefinitely cogenerated moduleright Artinianhereditary Artinian rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (8)

On rings with restricted minimum condition ⋮ On the cardinality of ideals in Artinian rings ⋮ Some rings characterised by their modules ⋮ Generalized finiteness conditions ⋮ A characterization of locally Artinian modules ⋮ A characterization of rings with Krull dimension ⋮ On serial Noetherian rings ⋮ On modules with finite uniform and Krull dimension

Cites Work

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• A note on Artinian rings
• Rings all of whose finitely generated modules are injective
• On rings whose simple modules are injective
• A Right PCI Ring is Right Noetherian
• Cocritically nice rings and boyle' conjecture
• A CHARACTERISATION OF RIGHT NOETHERIAN RINGS
• A Decomposition Theorem for Noetherian orders in Artinian Rings
• SOME RINGS WHICH ARE CHARACTERISED BY THEIR FINITELY GENERATED MODULES
• Lattices of radicals for heredita rily ARTINian rings
• Rings Characterized by their Cyclic Modules
• The Dual of the Notion of “Finitely Generated”

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