Two criteria to check whether ideals are direct sums of cyclically presented modules

DOI10.1016/j.jpaa.2018.04.016zbMath1397.13015OpenAlexW2801294423MaRDI QIDQ1789662

S. H. Shojaee, Ali Moradzadeh-Dehkordi

Publication date: 10 October 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2018.04.016

zbMATH Keywords

maximal idealprime ideallocal ringdirect sumcyclically presented modules

Mathematics Subject Classification ID

Principal ideal rings (13F10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Local rings and semilocal rings (13H99)

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
• Rings with the dual of the isomorphism theorem.
• Commutative rings with restricted minimum condition
• On commutative rings whose prime ideals are direct sums of cyclics
• A Krull-Schmidt Theorem for Infinite Sums of Modules
• Elementary Divisors and Modules

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