Two applications of Nagata rings and modules

DOI10.1142/S0219498820501157zbMath1440.13069OpenAlexW2946783928WikidataQ114614646 ScholiaQ114614646MaRDI QIDQ3298362

Qiao Lei, Fanggui Wang

Publication date: 14 July 2020

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

Full work available at URL: https://doi.org/10.1142/s0219498820501157

zbMATH Keywords

flat moduleNagata rings\(\tau\)-coherent rings\(\tau\)-flat modulehalf-centered hereditary torsion theoryNagata modules

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Torsion theory for commutative rings (13D30) Rings of fractions and localization for commutative rings (13B30)

Related Items (4)

On characterizations of w-coherent rings ⋮ Relative FP-injective modules and relative IF rings ⋮ On characterizations of w-coherent rings II ⋮ Unnamed Item

Cites Work

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• Foundations of commutative rings and their modules
• Prüfer \(\bigstar \)-multiplication domains and \(\bigstar \)-coherence
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Some remarks on star-operations
• Flat ideals. II
• Relative homological algebra
• Nagata rings
• Prüfer *-multiplication domains, Nagata rings, and Kronecker function rings
• Lectures on unique factorization domains. Notes by M. Pavman Murthy
• \(\pi\)-flat and \(\pi\)-projective module
• Beiträge zur Arithmetik kommutativer Integritätsbereiche. VIII. Multiplikativ abgeschlossene Systeme von endlichen Idealen
• ω-MODULES OVER COMMUTATIVE RINGS
• Relating homological dimensions to relative homological dimensions
• Coherence relative to an hereditary torsion theory
• Nagata Rings, Kronecker Function Rings, and Related Semistar Operations
• Torsion theories and coherent rings
• Torsion Theory and Associated Primes
• Relatively flat envelopes

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