Commutative rings whose proper ideals are direct sums of uniform modules

DOI10.1080/00927872.2017.1344690zbMath1440.13045OpenAlexW2733177586MaRDI QIDQ5745114

Sh. Asgari, Mahmood Behboodi

Publication date: 5 June 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2017.1344690

zbMATH Keywords

cyclic modulesindecomposable modulesuniform modulesprincipal ideal ringsdirect sum decompositions

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Principal ideal rings (13F10) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items (1)

Virtually homo-uniserial modules and rings

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 whose modules have nice decompositions
• Commutative rings with restricted minimum condition
• Rings for which every module is a direct sum of cyclic modules
• Commutative rings whose proper ideals are direct sum of completely cyclic modules

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