RINGS WHOSE CYCLIC MODULES ARE DIRECT SUMS OF EXTENDING MODULES

DOI10.1017/S0017089512000183zbMath1261.16003OpenAlexW2050062015MaRDI QIDQ2902681

Noyan Er, Pınar Aydoğdu, Nil Orhan Ertaş

Publication date: 22 August 2012

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089512000183

zbMATH Keywords

direct sumscyclic modulesextending modulesquasi-injective modulesfinite Goldie dimensionCS modulescyclic subfactors

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) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (1)

Rings whose cyclic modules have restricted injectivity domains

Cites Work

• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules.
• On \(\Sigma\)-\(q\) rings.
• Cyclic modules whose quotients have all complement submodules direct summands
• Rings whose proper cyclic modules are quasi-injective
• When is a simple ring Noetherian?
• Rings all of whose finitely generated modules are injective
• Quasi-Injective Modules and Irreducible Rings
• Rings whose modules are direct sums of extending modules
• Rings of left invariant module type
• RINGS WITH QUASI-INJECTIVE CYCLIC MODULES
• On rings with quasi-injective cyclic modules
• Rings All of Whose Cyclic Modules Are Quasi-Injective

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