C4-Modules

DOI10.1080/00927872.2016.1222412zbMath1395.16002OpenAlexW4250175813MaRDI QIDQ2984997

Yiqiang Zhou, Yasser Ibrahim, Nan Qing Ding, Mohamed F. Yousif

Publication date: 12 May 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1222412

zbMATH Keywords

square-free modules\(C2\)-modules and \(C3\)-modulescontinuous and quasi-continuous modulesinjective and quasi-injective modules

Mathematics Subject Classification ID

Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) General module theory in associative algebras (16D10)

Related Items (20)

D4-Modules ⋮ C4-modules with the exchange property ⋮ Unnamed Item ⋮ Perspectivity, exchange and summand-dual-square-free modules ⋮ D4-objects in abelian categories: Transfer via functors ⋮ S-T-CORETRACTABLE MODULES ⋮ Rings all of whose right ideals are U-modules ⋮ Utumi abelian groups ⋮ Direct complements almost unique ⋮ Modules Invariant Under Clean Endomorphisms of Their Injective Hulls ⋮ Rings with cyclic injective hulls ⋮ C4- and D4-Modules via perspective direct summands ⋮ Utumi modules ⋮ Artinian serial rings R with J3(R) = 0 ⋮ Unnamed Item ⋮ On commutative rings whose maximal ideals are idempotent ⋮ When a (dual-)Baer module is a direct sum of (co-)prime modules ⋮ Rings whose injective hulls are dual square free ⋮ 𝑈-rings generated by its idempotents ⋮ Rings whose cyclics are U-modules

Cites Work

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• Rings and modules which are stable under automorphisms of their injective hulls.
• ADS modules.
• Commuting idempotents, square-free modules, and the exchange property.
• Continuous modules are clean.
• Square-free modules with the exchange property.
• On continuous rings
• Refinements for infinite direct decompositions of algebraic systems
• ONX-EXTENDING ANDX-CONTINUOUS MODULES
• C3-Modules
• MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
• Modules which are invariant under monomorphisms of their injective hulls
• On Continuous Regular Rings

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