An alternative perspective on flatness of modules

DOI10.1142/S0219498816501450zbMath1376.16001OpenAlexW2125059240MaRDI QIDQ2816913

Yilmaz Durğun

Publication date: 26 August 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498816501450

zbMATH Keywords

flat modulesQF-ringsabsolutely pure modulesf-indigent modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Quasi-Frobenius rings (16L60) Noetherian rings and modules (associative rings and algebras) (16P40) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (14)

RD-projective module whose subprojectivity domain is minimal ⋮ Relative subcopure-injective modules ⋮ On the structure of modules defined by opposites of FP injectivity ⋮ Flat-precover completing domains ⋮ On minimal absolutely pure domain of RD-flat modules ⋮ Rings whose RD-flat modules have restricted subflat domains ⋮ Rings and modules characterized by opposites of FP-injectivity ⋮ The opposite of injectivity by proper classes ⋮ Subprojectivity domains of pure-projective modules ⋮ On the weak-injectivity profile of a ring ⋮ On subinjectivity domains of pure-injective modules ⋮ Rugged modules: The opposite of flatness ⋮ On the structure of modules defined by subinjectivity ⋮ On subinjectivity domains of RD-injective modules

Cites Work

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• Relative homological algebra
• Rings whose modules have maximal or minimal subprojectivity domain
• Stable module theory
• Singular torsion and the splitting properties

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