Unique decompositions into w-ideals for strong Mori domains

DOI10.1142/s021949882350250xzbMath1528.13017MaRDI QIDQ6087889

Basak Ay Saylam, Ezgi Gürbüz, Haleh Hamdi

Publication date: 16 November 2023

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

zbMATH Keywords

UFD\(w\)-operationstrong Mori domainUDI property

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Torsion-free groups, finite rank (20K15)

Cites Work

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• Foundations of commutative rings and their modules
• Idealization of a module
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• Semistar GCD Domains
• On w-modules over strong mori domains
• On Nonnil-Noetherian Rings
• Unique decomposition into ideals for reduced commutative Noetherian rings
• Integral Domains in Which Each Ideal Is aW-Ideal
• Elementary Divisors and Modules
• Unique decompositions into ideals for noetherian domains.

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