On Artiness of Right CF Rings

DOI10.1081/AGB-200034189zbMath1077.16020MaRDI QIDQ3158396

Wenxi Li, Jian-Long Chen

Publication date: 25 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

free modulesdirect summandsright Artinian ringsquasi-Frobenius ringscyclic right modulesstrongly right C2 rings

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Quasi-Frobenius rings (16L60) Other classes of modules and ideals in associative algebras (16D80) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (11)

C3-modules ⋮ C3-Modules ⋮ Generalization of CS condition ⋮ On NCS modules and rings ⋮ Some characterizations of quasi-Frobenius rings ⋮ Some results on MP-injectivity and MGP-injectivity of rings and modules. ⋮ WHEN CF RINGS ARE ARTINIAN ⋮ Almost MGP-injective rings. ⋮ On General Injective Rings with Chain Conditions ⋮ ON STRONGLY C2 MODULES AND D2 MODULES ⋮ Characterizations of QF Rings

Cites Work

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• Mininjective rings
• Principally injective rings
• WEAKLY CONTINUOUS AND C2-RINGS
• ON (m, n)-INJECTIVITY OF MODULES
• Continuous Rings with Acc on Annihilators
• Rings with the principal extension property
• Semiregular Modules and Rings
• On two open problems about embedding of modules in free modules^∗
• On general principally injective rings
• On Semiregular Rings whose Finitely Generated Modules Embed in Free Modules
• Annihilators and the CS-condition
• Rings satisfying certain chain conditions.

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