Exact and serial rings

DOI10.1016/0021-8693(83)90108-4zbMath0524.16005OpenAlexW1967881744WikidataQ105666707 ScholiaQ105666707MaRDI QIDQ585328

Goro Azumaya

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90108-4

zbMATH Keywords

multiplicityprimitive idempotentsself-dualityinjective envelopesserial ringscomposition seriesleft Artinian ringcomposition lengthexact ringsimple left module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Conditions on elements (16U99) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (10)

Artinian Duo Rings and Self-Duality ⋮ On self-duality of ring extensions over quasi-frobenius rings ⋮ On Morita duality ⋮ A note on three artinian rings ⋮ Exact modules and serial rings ⋮ Towards self-duality of semidistributive artinian rings ⋮ Morita duality and artinian left duo rings ⋮ On a generalization of normalizing extensions ⋮ On Azumaya's exact rings and artinian duo rings ⋮ Artinian rings with Morita duality

Cites Work

• Unnamed Item
• Finiteness of the injective hull
• On indecomposable injectives over artinian rings
• Characterizations of Generalized Uniserial Algebras
• A Duality Theory for Injective Modules. (Theory of Quasi-Frobenius Modules)
• Characterizations of Generalized Uniserial Algebras. II
• The Structure of QF-3 Rings

This page was built for publication: Exact and serial rings