A Cohen-type theorem for w-Artinian modules

DOI10.1142/S0219498821501061zbMath1474.13039OpenAlexW3012142053MaRDI QIDQ4998019

Hwankoo Kim, Kui Hu, De Chuan Zhou

Publication date: 1 July 2021

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

Full work available at URL: https://doi.org/10.1142/s0219498821501061

zbMATH Keywords

Chinese remainder theorem\(w\)-Artinian module\(w\)-cofinitely generatedCohen-type theorem

Mathematics Subject Classification ID

Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Torsion theory for commutative rings (13D30)

Related Items (6)

A characterization of Krull domains in terms of their factor rings ⋮ A Cohen-type theorem for w-Noetherian modules ⋮ w-invertible ideals over infra-Krull domains ⋮ Unnamed Item ⋮ A CHARACTERIZATION OF w-ARTINIAN MODULES ⋮ Generalizations of Nagata’s theorem

Cites Work

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• Foundations of commutative rings and their modules
• Strong Prüfer rings and the ring of finite fractions
• On the dual of Burch's inequality
• A Cohen-type theorem for Artinian modules
• Lectures on injective modules and quotient rings
• LOCALIZATION OF INJECTIVE MODULES OVER ω-NOETHERIAN RINGS
• INJECTIVE MODULES OVER ω-NOETHERIAN RINGS, II
• ω-MODULES OVER COMMUTATIVE RINGS
• Finitely Embedded Commutative Rings
• On w-modules over strong mori domains
• Cohen’s theorem and eakin-nagata theorem revisited
• $\tau_w$-Loewy modules and their applications
• Nil Rings Satisfying Certain Chain Conditions
• Rings with Ascending Condition on Annihilators
• The Dual of the Notion of “Finitely Generated”
• On Co-Noetherian Rings
• ARTINIAN MODULES AND HILBERT POLYNOMIALS

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