Commutative rings whose proper ideals are serial

DOI10.1007/s10468-017-9699-7zbMath1391.13047OpenAlexW2615618224MaRDI QIDQ1698233

S. Heidari, Mahmood Behboodi

Publication date: 15 February 2018

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-017-9699-7

zbMATH Keywords

uniserial modulesserial modulesserial rings

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Arithmetic rings and other special commutative rings (13F99)

Related Items (4)

Commutative rings whose proper ideals are pure-semisimple ⋮ Commutative rings whose proper ideals are \(\wp\)-virtually semisimple ⋮ Structure of virtually semisimple modules over commutative rings ⋮ 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
• Serial modules and endomorphism rings
• Serial rings and finitely presented modules
• Verallgemeinerte Abelsche Gruppen mit hyperkomplexem Operatorenring
• On the structure of principal ideal rings
• On the decomposition of modules and generalized left uniserial rings
• The structure of serial rings
• 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
• Krull-Schmidt fails for serial modules
• Elementary Divisors and Modules
• Uniserial modules over valuation rings

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