On w∞-projective modules and Krull domains

DOI10.1080/00927872.2022.2032726zbMath1492.13019OpenAlexW4210848505MaRDI QIDQ5080220

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Publication date: 31 May 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2022.2032726

zbMATH Keywords

Krull domain\textit{\(w_\infty \)}-projective dimension\textit{\(w_\infty \)}-projective global dimension\textit{\(w_\infty \)}-projective module

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Torsion theory for commutative rings (13D30)

Cites Work

• Foundations of commutative rings and their modules
• Some remarks on star-operations
• Injective and flat covers, envelopes and resolvents
• Flat ideals. II
• Relative homological algebra
• Two generalizations of projective modules and their applications
• THE w-WEAK GLOBAL DIMENSION OF COMMUTATIVE RINGS
• ω-MODULES OVER COMMUTATIVE RINGS
• Divisible Modules
• On w-modules over strong mori domains
• The existence of Gorenstein flat covers
• A homological characterization of Krull domains II
• w-MATLIS COTORSION MODULES AND w-MATLIS DOMAINS
• ON LCM-STABLE MODULES
• Integral Domains in Which Each Ideal Is aW-Ideal
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