On commutative rings whose ideals are direct sums of cyclic modules

DOI10.1142/S0219498819500397zbMath1423.13078OpenAlexW2790604022MaRDI QIDQ5377490

M. Naji Esfahani, Atefeh Ghorbani

Publication date: 24 May 2019

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

Full work available at URL: https://doi.org/10.1142/s0219498819500397

zbMATH Keywords

cyclic moduleslocal dimensiondiscrete valuation domainprincipal ideal ring

Mathematics Subject Classification ID

Principal ideal rings (13F10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

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• Commutative Noetherian local rings whose ideals are direct sums of cyclic modules
• Commutative local rings whose ideals are direct sums of cyclic modules
• Local Dimension of Coatomic Modules
• Elementary Divisors and Modules
• Foundations of a General Theory of Birational Correspondences

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