Absolutelys-Pure Modules and Neat-Flat Modules

DOI10.1080/00927872.2013.842246zbMath1335.16001OpenAlexW2011274563MaRDI QIDQ5245136

Yilmaz Durğun, Engin Büyükaşık

Publication date: 2 April 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.842246

zbMATH Keywords

CS-ringsprojective modulessimple modulesinjective coverspure exact sequencesneat-flat modulesabsolutely \(s\)-pure modulesenveloping hulls

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) General module theory in associative algebras (16D10)

Related Items (8)

On purities relative to minimal right ideals ⋮ Coneat injective modules ⋮ On MF-projective modules ⋮ Neat-flat Modules ⋮ On max-flat and max-cotorsion modules ⋮ Relatively divisible and relatively flat objects in exact categories: applications ⋮ On \(\mathcal{D} \)-closed submodules ⋮ Max-projective modules

Cites Work

• Unnamed Item
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• Neat submodules over integral domains
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules.
• A note on homology in categories
• FI-injective and FI-flat modules.
• Injectivity relative to closed submodules.
• Rings which have flat injective modules
• Purity and generalized chain conditions
• Flat covers of modules
• Some results on V-rings and weakly V-rings.
• Lifting modules, extending modules and their applications to QF-rings
• On maximal injectivity.
• Pure submodules
• High submodules and purity
• \(s\)-pure submodules.
• Projective Envelopes of Finitely Generated Modules
• When Does Every Simple Module Have a Projective Envelope?
• Absolutely Pure Covers
• MAX-INJECTIVE, MAX-FLAT MODULES AND MAX-COHERENT RINGS
• Relative injective covers
• Rings characterized by (pre)envelopes and (pre)covers of their modules^∗
• NEAT AND CONEAT SUBMODULES OF MODULES OVER COMMUTATIVE RINGS
• Singular torsion and the splitting properties

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