NEAT AND CONEAT SUBMODULES OF MODULES OVER COMMUTATIVE RINGS

DOI10.1017/S0004972713000622zbMath1288.13008OpenAlexW2151003921MaRDI QIDQ5409887

Septimiu Crivei

Publication date: 15 April 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972713000622

zbMATH Keywords

absolutely neat moduleabsolutely coneat moduleconeat modulemaximal ideal.neat module

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Structure, classification theorems for modules and ideals in commutative rings (13C05) General module theory in associative algebras (16D10) Torsion theory for commutative rings (13D30) Module categories and commutative rings (13C60)

Related Items (12)

On the isomorphism of coneat-injective modules over commutative rings ⋮ On purities relative to minimal right ideals ⋮ Coneat injective modules ⋮ On simple-direct modules ⋮ Relatively divisible and relatively flat objects in exact categories ⋮ On MF-projective modules ⋮ Neat-flat Modules ⋮ On max-flat and max-cotorsion modules ⋮ Relatively divisible and relatively flat objects in exact categories: applications ⋮ Neat submodules over commutative rings ⋮ Max-projective modules ⋮ Absolutelys-Pure Modules and Neat-Flat Modules

Cites Work

• Unnamed Item
• Neat submodules over integral domains
• A prime ideal principle in commutative algebra
• Pure submodules
• \(s\)-pure submodules.
• ON A CLASS OF MONOMIAL IDEALS

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