Infinite Direct Sums of Lifting Modules

DOI10.1080/00927870500542903zbMath1139.16004OpenAlexW1970371709MaRDI QIDQ5478697

Noyan Er

Publication date: 13 July 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500542903

zbMATH Keywords

direct sumsArtinian ringsNoetherian ringslifting modulesquasi-projective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (5)

Rad-discrete modules ⋮ On a class of Harada rings ⋮ On infinite direct sums of lifting modules ⋮ Rings whose pure-injective right modules are direct sums of lifting modules. ⋮ Lifting Modules with Indecomposable Decompositions

Cites Work

• Almost M-projectives and Nakayama rings
• On quasi-Harada rings
• On essential extensions of direct sums of injective modules
• Direct-sum representations of injective modules
• Krull-Schmidt fails for serial modules
• On lifting modules
• On a class of non-noetherian V-ring
• On Direct Sums of Lifting Modules and Internal Exchange Property
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