A CHARACTERIZATION OF NOETHERIAN MODULES

DOI10.1093/QMATH/41.2.225zbMath0712.16016OpenAlexW2043892754MaRDI QIDQ3497222

Dinh Van Huynh, Nguyen Viet Dung, Patrick F. Smith

Publication date: 1990

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/41.2.225

zbMATH Keywords

semisimple modulesdirect summandsessential submodulesNoetherian modulesuniform dimensionfinitely generated submodules

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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (4)

Relatively extending modules. ⋮ Modules complemented with respect to a torsion theory ⋮ A characterization of noetherian rings by cyclic modules ⋮ On modules with finite uniform and Krull dimension

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