A note on rings with chain conditions

DOI10.1007/BF01903619zbMath0641.16011MaRDI QIDQ1100538

Dinh Van Huynh

Publication date: 1988

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Jacobson radicalchain conditionright Artinian ringright Noetherian ringideal of finite left lengthLenagan's theoremmaximal divisible torsion ideal

Mathematics Subject Classification ID

Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (2)

Noncommutative generalizations of theorems of Cohen and Kaplansky. ⋮ A Prime Ideal Principle for Two-Sided Ideals

Cites Work

• On modified chain conditions
• Nichtprime Cohen-Ringe
• Über Ringe mit eingeschränkter Minimalbedingung für Rechtsideale
• Which leftARTINian rings are rightARTINian?
• Shorter Notes: Artinian Ideals in Noetherian Rings
• Krull dimension
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