Characterizing $S$-flat modules and $S$-von Neumann regular rings by uniformity

DOI10.4134/BKMS.b210291zbMath1495.13019arXiv2105.07941MaRDI QIDQ5089692

Xiaolei Zhang

Publication date: 15 July 2022

Full work available at URL: https://arxiv.org/abs/2105.07941

zbMATH Keywords

\(u\)-\(S\)-exact sequence\(u\)-\(S\)-flat module\(u\)-\(S\)-torsion module\(u\)-\(S\)-von Neumann regular ring

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Rings of fractions and localization for commutative rings (13B30) Chain conditions, finiteness conditions in commutative ring theory (13E99) Torsion modules and ideals in commutative rings (13C12)

Related Items (5)

$S$-cotorsion modules and dimensions ⋮ Characterizing \(S\)-projective modules and \(S\)-semisimple rings by uniformity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• \(S\)-Noetherian properties on amalgamated algebras along an ideal
• On \(S\)-strong Mori domains
• Foundations of commutative rings and their modules
• Commutative coherent rings
• \(S\)-almost perfect commutative rings
• A Note on S-Noetherian Domains
• On S-coherence
• S-NOETHERIAN RINGS
• Unnamed Item
• Unnamed Item
• Unnamed Item

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