Purity over Prüfer v-multiplication domains

DOI10.1142/S0219498818501001zbMath1458.13006OpenAlexW4240515274MaRDI QIDQ4563571

Shiqi Xing, Fanggui Wang

Publication date: 1 June 2018

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

Full work available at URL: https://doi.org/10.1142/s0219498818501001

zbMATH Keywords

P\(v\)MD\(w\)-flat module\(w\)-pure exact sequence\(w\)-pure submodule

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (6)

On \textit{w-FI}-flat and \textit{w-FI}-injective modules ⋮ w-FP-projective Modules and Dimensions ⋮ A characterization of Prüfer \(v\)-multiplication domains in terms of linear equations ⋮ A note on $\phi$-Pr\"ufer $v$-multiplication rings ⋮ Purity over Prüfer v-multiplication domains, II ⋮ Relative FP-injective modules and relative IF rings

Cites Work

• Foundations of commutative rings and their modules
• On the free product of associative rings
• An introduction to homological algebra
• Some remarks on star-operations
• Flat ideals. II
• On strong Mori domains
• Purity and algebraic compactness for modules
• THE w-WEAK GLOBAL DIMENSION OF COMMUTATIVE RINGS
• t-Linked overrings and prüfer v-multiplication domains
• ω-MODULES OVER COMMUTATIVE RINGS
• Overrings of Prüfer v-multiplication domains
• ON LCM-STABLE MODULES
• w-INJECTIVE MODULES AND w-SEMI-HEREDITARY RINGS
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