Rings whose pure-injective right modules are direct sums of lifting modules.

DOI10.1016/j.jalgebra.2012.12.014zbMath1297.16004OpenAlexW2000781254WikidataQ122987594 ScholiaQ122987594MaRDI QIDQ2445017

Derya Keskin Tütüncü, Pedro A. Guil Asensio

Publication date: 11 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.12.014

zbMATH Keywords

direct sumsfinite representation typeArtinian ringsNoetherian ringslifting modulespure-injective modulesserial rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items

Left co-Köthe rings and their characterizations, Several characterizations of left Köthe rings, Two criteria for locally Noetherian Grothendieck categories

Cites Work

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• Rings with Morita duality
• Rings whose modules are \(\oplus\)-supplemented
• Rings for which certain modules are \(CS\)
• Modules with every subgenerated module lifting
• Rings all of whose finitely generated modules are injective
• A generalization of quasi-Frobenius rings
• On a class of balanced non-uniserial rings
• Decomposition of modules over right uniserial rings
• Every Σ-CS-module has an indecomposable decomposition
• On the Sparsity of Representations of Rings of Pure Global Dimension Zero
• Rings whose modules are direct sums of extending modules
• Duality and Pure-Semisimple Rings
• On pure semi-simple Grothendieck categories I
• σ-cs-modules
• Locally finitely presented additive categories
• Rings characterized by direct sums of cs modules
• Lifting Modules with Indecomposable Decompositions
• Infinite Direct Sums of Lifting Modules