Neat submodules over commutative rings

DOI10.1080/00927872.2019.1677697zbMath1439.18014OpenAlexW2980472832MaRDI QIDQ5220630

Zübeyir Türkoğlu, Engin Mermut

Publication date: 27 March 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1677697

zbMATH Keywords

neatsimple moduleAuslander-Bridger transposeproper class\(\mathcal{P}\)-pure

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological dimension and commutative rings (13D05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (3)

On purities relative to minimal right ideals ⋮ On MF-projective modules ⋮ On max-flat and max-cotorsion modules

Cites Work

• Neat submodules over integral domains
• TTF triples in functor categories.
• Rad-supplemented modules.
• Tilting modules arising from ring epimorphisms.
• Modules of extensions over Dedekind rings
• Injectivity relative to closed submodules.
• Pure submodules
• Gorenstein dimension and torsion of modules over commutative noetherian rings
• Locally principal ideals and finite character
• A Course in Commutative Algebra
• Rings with Projective Socle
• RELATIVE HOMOLOGICAL ALGEBRA IN CATEGORIES OF MODULES
• NEAT AND CONEAT SUBMODULES OF MODULES OVER COMMUTATIVE RINGS
• Stable module theory
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