On noncommutative FGC rings

DOI10.1142/S0219498815501091zbMath1318.16005MaRDI QIDQ5255728

M. Naji Esfahani, Atefeh Ghorbani

Publication date: 19 June 2015

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

zbMATH Keywords

local Noetherian ringsduo ringsuniserial ringsdirect sums of cyclic modulesprincipal ideal ringsleft FGC rings

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) Generalizations of commutativity (associative rings and algebras) (16U80) Principal ideal rings (13F10) Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Localization and associative Noetherian rings (16P50)

Related Items (2)

On the structure of pure-projective modules and some applications ⋮ Virtually uniserial modules and rings

Cites Work

• Unnamed Item
• Rings of type I
• Non-commutative principal ideal rings
• Commutative rings whose finitely generated modules decompose
• Serial rings and finitely presented modules
• On non-commutative Noetherian local rings, non-commutative geometry and particle physics.
• Verallgemeinerte Abelsche Gruppen mit hyperkomplexem Operatorenring
• Rings whose finitely generated modules are direct sums of cyclics
• Anneaux locaux commutatifs sur lesquels tout module de type fini est somme directe de modules monogènes
• Reduced rings whose finitely generated modules decompose
• The Decomposition of Finitely Generated Modules and Fractionally Self-Injective Rings
• Almost Maximal Valuation Rings

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