On commutative rings whose prime ideals are direct sums of cyclics

DOI10.5817/AM2012-4-291zbMath1274.13017arXiv1202.0371MaRDI QIDQ4922258

Ali Moradzadeh-Dehkordi, Mahmood Behboodi

Publication date: 29 May 2013

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0371

zbMATH Keywords

cyclic modulesprime idealslocal ringsprincipal ideal rings

Mathematics Subject Classification ID

Principal ideal rings (13F10) Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Local rings and semilocal rings (13H99)

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Two criteria to check whether ideals are direct sums of cyclically presented modules ⋮ Commutative rings whose proper ideals are direct sum of completely cyclic modules

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