On some properties of \(\oplus\)-supplemented modules.

DOI10.1155/S016117120320346XzbMath1066.16001MaRDI QIDQ1774362

Abdelouahab Idelhadj, Rachid Tribak

Publication date: 9 May 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51433

zbMATH Keywords

finitely generated modulesdirect sumsdirect summandsinjective modules\(\oplus\)-supplemented modulescommutative principal ideal rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other special types of modules and ideals in commutative rings (13C13)

Related Items (12)

On ⊕-δss-supplemented modules ⋮ Weakly distributive modules. Applications to supplement submodules. ⋮ On non-\(M\)-cosingular completely \(\oplus\)-supplemented modules. ⋮ \(t\)-generalized supplemented modules ⋮ Generalizations of \(\oplus\)-supplemented modules. ⋮ A note on \(\oplus\)-cofinitely supplemented modules. ⋮ \(T\)-radical and strongly \(T\)-radical supplemented modules ⋮ Generalized \(\oplus\)-radical supplemented modules. ⋮ Rings whose cyclic modules are lifting and ⊕-supplemented ⋮ \(I\)-Rad-\( \oplus \)-supplemented modules ⋮ Unnamed Item ⋮ D3-MODULES VERSUSD4-MODULES – APPLICATIONS TO QUIVERS

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