On infinite direct sums of lifting modules

DOI10.1142/S1793557117500498zbMath1383.16002OpenAlexW2529009963MaRDI QIDQ5370756

Truong Cong Quynh, Muhammet Tamer Koşan

Publication date: 20 October 2017

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557117500498

zbMATH Keywords

Noetherian ringQF-ringhollow moduleH-ringlifting module{\(\sigma\)}-injective module{\(\sigma\)}-lifting module{\(\sigma\)}-V-ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Quasi-Frobenius rings (16L60) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

• Direct sums of injective and projective modules.
• Injective modules over Noetherian rings
• On essential extensions of direct sums of injective modules
• Lifting modules, extending modules and their applications to QF-rings
• On essential extensions of direct sums of either injective or projective modules
• On Σ-VRings
• A NOTE ON ESSENTIAL EXTENSIONS OF SEMI-SIMPLE MODULES
• New characterization of $\Sigma $-injective modules
• Sur l'enveloppe injective des anneaux de groupes réguliers
• When is Every Module with Essential Socle a Direct Sums of Quasi-Injectives?
• Infinite Direct Sums of Lifting Modules
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