Rings with many direct summands

DOI10.1007/BF01200342zbMath0726.16017MaRDI QIDQ802714

Patrick F. Smith

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

projective moduledirect sumuniform dimensionright Krull dimensioncyclic right R-moduledirect sum of prime right CS ringsmodule of finite lengthright Noetheriansimple right R-modules

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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (1)

Goldie dimension of a sum of modules

Cites Work

• On rings with restricted minimum condition
• Semi-Prime Rings with Maximum Condition
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
• SOME RINGS WHICH ARE CHARACTERISED BY THEIR FINITELY GENERATED MODULES
• Krull dimension

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