AN AFFIRMATIVE ANSWER TO A QUESTION ON NOETHERIAN RINGS

DOI10.1142/S0219498808002631zbMath1187.16018OpenAlexW2097267356MaRDI QIDQ3520468

S. Tariq Rizvi, Dinh Van Huynh

Publication date: 26 August 2008

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

Full work available at URL: https://doi.org/10.1142/s0219498808002631

zbMATH Keywords

direct sumsprojective modulesNoetherian ringsinjective modulesNoetherian modulescyclic right modules

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) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (3)

Some results on V-rings and weakly V-rings. ⋮ RINGS OVER WHICH CYCLICS ARE DIRECT SUMS OF PROJECTIVE AND CS OR NOETHERIAN ⋮ A Wheels-and-Whirls Theorem for $3$-Connected $2$-Polymatroids

Cites Work

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• Cyclic modules whose quotients have all complement submodules direct summands
• On modules with finite uniform and Krull dimension
• Modules whose quotients have finite Goldie dimension
• Structure of some Noetherian SI rings
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• When are proper cyclics injective?
• Some rings characterised by their modules
• A CHARACTERISATION OF RIGHT NOETHERIAN RINGS
• Rings Whose Cyclic Modules are Injective or Projective
• SOME RINGS WHICH ARE CHARACTERISED BY THEIR FINITELY GENERATED MODULES
• A characterization of noetherian rings by cyclic modules
• Homological properties of the ring of differential polynomials

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