On some classes of Artinian rings

DOI10.1006/jabr.1999.8080zbMath0955.16023OpenAlexW2004292476MaRDI QIDQ1969120

Dinh Van Huynh, S. Tariq Rizvi

Publication date: 28 August 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8080

zbMATH Keywords

direct sumsprojective modulessemisimple modulesArtinian ringsquasi-continuous modulesCS-modulescountably generated modules

Mathematics Subject Classification ID

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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (6)

On Utumi rings and continuous regular Baer rings ⋮ A decomposition theorem for \(\wp^*\)-semisimple rings. ⋮ \(I_0^*\)-modules ⋮ WHEN CF RINGS ARE ARTINIAN ⋮ Characterizing rings by a direct decomposition property of their modules ⋮ Structure of some Noetherian SI rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tachikawa's theorem on algebras of left colocal type
• Right perfect rings with the extending property on finitely generated free modules
• On rings with restricted minimum condition
• Rings for which certain modules are \(CS\)
• Lifting modules, extending modules and their applications to QF-rings
• Modules with decompositions that complement direct summands
• The technique of localizations of modules over algebras
• Characterisations of generalised un i serial rings in terms of factor rings
• Singular torsion and the splitting properties
• On the Decomposition of Nonsingular CS-Modules
• Rings whose finitely generated modules are extending

This page was built for publication: On some classes of Artinian rings