A CHARACTERISATION OF RIGHT NOETHERIAN RINGS

DOI10.1093/qmath/33.1.65zbMath0443.16011OpenAlexW1975851546MaRDI QIDQ3885876

A. W. Chatters

Publication date: 1982

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/33.1.65

zbMATH Keywords

projective moduleright Noetherian ringsNoetherian modulecyclic right R-modulefinitely-generated module

Mathematics Subject Classification ID

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) Representation theory of associative rings and algebras (16Gxx)

Related Items (11)

Some characterizations of hereditarily artinian rings ⋮ Some rings characterised by their modules ⋮ On artinian sc-rings ⋮ A characterization of artinian rings ⋮ AN AFFIRMATIVE ANSWER TO A QUESTION ON NOETHERIAN RINGS ⋮ A characterization of rings with Krull dimension ⋮ On modules of finite length ⋮ Cyclic modules whose quotients have all complement submodules direct summands ⋮ A characterization of noetherian rings by cyclic modules ⋮ Associative rings ⋮ Rings characterized by cyclic modules

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