Neat submodules over integral domains

DOI10.1007/s10998-012-7509-xzbMath1289.13011OpenAlexW2050013554MaRDI QIDQ452829

László Fuchs

Publication date: 17 September 2012

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-012-7509-x

zbMATH Keywords

simple modulecharacter moduleclosed submoduleneat and coneat submoduleneat-projectiveprojective ideal

Mathematics Subject Classification ID

Integral domains (13G05) Other special types of modules and ideals in commutative rings (13C13)

Related Items (18)

On the isomorphism of coneat-injective modules over commutative rings ⋮ On purities relative to minimal right ideals ⋮ Endoregular modules ⋮ Sa-supplement submodules ⋮ NEAT AND CONEAT SUBMODULES OF MODULES OVER COMMUTATIVE RINGS ⋮ Relatively divisible and relatively flat objects in exact categories ⋮ D-Extending Modules ⋮ On MF-projective modules ⋮ Neat-flat Modules ⋮ Weakly-\(\tau\)-flat modules ⋮ On max-flat and max-cotorsion modules ⋮ Relatively divisible and relatively flat objects in exact categories: applications ⋮ On \(\mathcal{D} \)-closed submodules ⋮ Neat submodules over commutative rings ⋮ On the structure of modules defined by subinjectivity ⋮ Max-projective modules ⋮ Absolutelys-Pure Modules and Neat-Flat Modules ⋮ Projectivity relative to closed (neat) submodules

Cites Work

• Injectivity relative to closed submodules.
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• Purity and algebraic compactness for modules
• Torsion free covering modules. II
• \(s\)-pure submodules.
• Cotorsion pairs generated by modules of bounded projective dimension.
• Neat submodules by relative height
• Weak-Injective Modules
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