A characterization of noetherian rings by cyclic modules

DOI10.1017/S0013091500022987zbMath0856.16019MaRDI QIDQ4892729

Dinh Van Huynh

Publication date: 12 November 1996

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

direct sumsprojective modulesNoetherian modulesright Noetherian ringsright Krull dimensioncyclic right modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

Conditions for a ring to be Noetherian or Artinian ⋮ AN AFFIRMATIVE ANSWER TO A QUESTION ON NOETHERIAN RINGS

Cites Work

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• A characterization of rings with Krull dimension
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• A CHARACTERIZATION OF NOETHERIAN MODULES
• A Right PCI Ring is Right Noetherian
• A CHARACTERISATION OF RIGHT NOETHERIAN RINGS
• Rings Whose Cyclic Modules are Injective or Projective
• Rings Characterized by their Cyclic Modules
• Homological properties of the ring of differential polynomials

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