On rings each of whose finitely generated modules is a direct sum of cyclic modules

zbMath1369.16001arXiv1202.0386MaRDI QIDQ5267524

G. Behboodi Eskandari, Mahmood Behboodi

Publication date: 13 June 2017

Full work available at URL: https://arxiv.org/abs/1202.0386

zbMATH Keywords

cyclic modulesprincipal ideal ringsduo-ringsFGC-rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) General module theory in associative algebras (16D10) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (6)

C3-modules ⋮ Several generalizations of the Wedderburn-Artin theorem with applications ⋮ Hopficity and duo rings ⋮ Noetherian rings whose modules are prime serial ⋮ Local duo rings whose finitely generated modules are direct sums of cyclics ⋮ Characterization of rings using finite-direct-injective modules

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