Weakly distributive modules. Applications to supplement submodules.

DOI10.1007/s12044-010-0053-9zbMath1280.16005OpenAlexW2098032374MaRDI QIDQ353948

Engin Büyükaşık, Yılmaz Mehmet Demirci

Publication date: 17 July 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11147/2626

zbMATH Keywords

direct summandssupplemented modulessupplement submodulesduo modulesweakly distributive modules

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) General module theory in associative algebras (16D10) Other special types of modules and ideals in commutative rings (13C13)

Related Items

ON THE NOTION OF STRONG IRREDUCIBILITY AND ITS DUAL ⋮ \(I\)-Rad-\( \oplus \)-supplemented modules

Cites Work

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• Sum of hollow modules
• Distributive modules and rings and their close analogs
• On some properties of \(\oplus\)-supplemented modules.
• Finitely Cogenerated Distributive Modules are Q-Cocyclic
• Distributive Modules
• Modules Whose Lattice of Submodules is Distributive
• MODULES FOR WHICH EVERY SUBMODULE HAS A UNIQUE COCLOSURE

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