Two Examples of Local Artinian Rings

DOI10.2307/2048035zbMath0686.16009OpenAlexW4239480747MaRDI QIDQ4204289

Weimin Xue

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048035

zbMATH Keywords

uniserialartinian local ringsleft indecomposable injective R-moduleright serial

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Noncommutative local and semilocal rings, perfect rings (16L30) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (9)

Self-duality of quasi-Harada rings and locally distributive rings. ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Left serial rings and their factor skew fields ⋮ Artinian right serial rings ⋮ Connections between representation-finite and Köthe rings ⋮ Semidistributive modules ⋮ Direct sum decompositions of projective and injective modules into virtually uniserial modules

Cites Work

• A Duality Theory for Injective Modules. (Theory of Quasi-Frobenius Modules)
• Rings whose Indecomposable Injective Modules are Uniserial
• The Structure of Quasi-Frobenius Rings
• On Morita Duality
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