A characterization of locally Artinian modules

DOI10.1016/0021-8693(90)90131-7zbMath0703.16002OpenAlexW2009941837MaRDI QIDQ915830

Robert Wisbauer, Dinh Van Huynh

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90131-7

zbMATH Keywords

rings with local unitscategory equivalencedirect suminjective moduleendomorphism ringorthogonal idempotentsquasi-projectivecyclic right R-modulefinitely cogenerated modulelocally Artinianright self-injective von Neumann regular ringself-projectivesemiprime Artinian rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Representations of associative Artinian rings (16G10) Artinian rings and modules (associative rings and algebras) (16P20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (3)

Unnamed Item ⋮ Generalized finiteness conditions ⋮ On modules with finite uniform and Krull dimension

Cites Work

• Unnamed Item
• Unnamed Item
• Morita equivalence for rings without identity
• Rings all of whose finitely generated modules are injective
• A characterization of artinian rings
• Co-semisimple modules and nonassociative v-rings
• Rings Characterized by their Cyclic Modules
• Singular torsion and the splitting properties

This page was built for publication: A characterization of locally Artinian modules