Some properties of \(e\)-supplemented and \(e\)-lifting modules.

DOI10.1007/s10013-013-0022-6zbMath1281.16006OpenAlexW1983124276MaRDI QIDQ382130

Truong Cong Quynh, Phan Hong Tin

Publication date: 18 November 2013

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-013-0022-6

zbMATH Keywords

\(e\)-lifting modules\(e\)-supplemented 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) Noncommutative local and semilocal rings, perfect rings (16L30) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (2)

On a class of g-lifting modules ⋮ $G$-supplemented property in the lattices

Cites Work

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• Small-essential submodules and Morita duality.
• \(\delta\)-small submodules and \(\delta\)-supplemented modules.
• Semiregular, semiperfect and perfect rings relative to an ideal.
• Generalizations of Perfect, Semiperfect, and Semiregular Rings
• Modules with chain conditions on superfluous submodules
• Lifting Modules with Indecomposable Decompositions

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