When is a simple ring Noetherian?

DOI10.1006/JABR.1996.0284zbMath0856.16020OpenAlexW2051611472MaRDI QIDQ1922907

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

Publication date: 12 December 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0284

zbMATH Keywords

direct summandssimple ringsquasi-injective modules\(CS\)-modulescyclic singular right modulesright hereditary right Noetherian 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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (4)

RINGS WHOSE CYCLIC MODULES ARE DIRECT SUMS OF EXTENDING MODULES ⋮ Some results on V-rings and weakly V-rings. ⋮ When cyclic singular modules over a simple ring are injective ⋮ Rings whose cyclics are U-modules

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