Characterizing rings by a direct decomposition property of their modules

DOI10.1017/S1446788700014063zbMath1106.16004OpenAlexW2150626370MaRDI QIDQ5480462

Dinh Van Huynh, S. Tariq Rizvi

Publication date: 1 August 2006

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700014063

zbMATH Keywords

direct sumsprojective modulessemisimple modulesdirect summandsArtinian ringsquasi-continuous modulescountably generated modulesCS modules

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) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (2)

A decomposition theorem for \(\wp^*\)-semisimple rings. ⋮ Rings whose modules are direct sums of extending modules

Cites Work

• Unnamed Item
• Structure of some Noetherian SI rings
• On some classes of Artinian rings
• Singular torsion and the splitting properties

This page was built for publication: Characterizing rings by a direct decomposition property of their modules