Flat modules over valuation rings

DOI10.1016/j.jpaa.2007.01.010zbMath1123.13016arXiv0706.0111OpenAlexW2025244892MaRDI QIDQ2371820

Francois Couchot

Publication date: 9 July 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0111

zbMATH Keywords

uniserial moduleright perfect ringpure submoduleseparable module\(\pi\)-coherent ringcontent modulefinitely injective modulestrongly coherent ring

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Valuation rings (13F30) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (11)

On some flatness properties over commutative rings ⋮ When every principal ideal is flat ⋮ When every flat ideal is finitely projective ⋮ On projectivity of finitely generated modules ⋮ Indecomposable injective modules of finite Malcev rank over local commutative rings ⋮ Finitely projective modules with respect to a semidualizing module ⋮ \(I\)-\(n\)-coherent rings, \(I\)-\(n\)-semihereditary rings, and \(I\)-regular rings. ⋮ Valuation domains with a maximal immediate extension of finite rank ⋮ When every finitely projective ideal is projective ⋮ C-Pure Projective Modules ⋮ Σ-semi-compact rings and modules

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