New characterizations of S-coherent rings

DOI10.1142/S0219498823500780MaRDI QIDQ5882577

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Publication date: 17 March 2023

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

Full work available at URL: https://arxiv.org/abs/2103.14240

zbMATH Keywords

\(S\)-coherent rings\(S\)-flat modules\(S\)-Mittag-Leffler modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Commutative Noetherian rings and modules (13E05) Rings of fractions and localization for commutative rings (13B30)

Cites Work

• Unnamed Item
• \(S\)-Noetherian properties on amalgamated algebras along an ideal
• On \(S\)-strong Mori domains
• Almost free modules and Mittag-Leffler conditions.
• Foundations of commutative rings and their modules
• Commutative coherent rings
• Endlich präsentierbare Moduln
• Distributing tensor product over direct product
• Products of flat modules and global dimension relative to ℱ-Mittag-Leffler modules
• Direct Products of Modules
• A Note on S-Noetherian Domains
• Mittat-Leffler conditions on modules
• On S-coherence
• S-∗_w-Principal Ideal Domains
• S-NOETHERIAN RINGS
• $\mathcal{F}_{\mathcal{S}}$-MITTAG-LEFFLER MODULES AND GLOBAL DIMENSION RELATIVE TO $\mathcal{F}_{\mathcal{S}}$-MITTAG-LEFFLER MODULES
• All tilting modules are of finite type
• A solution to the Baer splitting problem

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