On perfect simple-injective rings

DOI10.1090/S0002-9939-97-03678-2zbMath0868.16002WikidataQ114093937 ScholiaQ114093937MaRDI QIDQ3127279

W. Keith Nicholson, Mohamed F. Yousif

Publication date: 8 April 1997

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

zbMATH Keywords

perfect ringsquasi-Frobenius ringsself-injective ringsright soclesleft perfect left and right selfinjective rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (12)

On Generalizations of PF-Rings ⋮ FP-Injective, Simple-Injective, and Quasi-Frobenius Rings ⋮ C3-modules ⋮ Retractable and coretractable modules over formal triangular matrix rings ⋮ On dual pairs and simple-injective modules ⋮ FP-RINGS ⋮ On small dual rings ⋮ WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM ⋮ Rings with countably many direct summands ⋮ On a Generalization of Injective Rings ⋮ Soc-Injective Rings and Modules* ⋮ Extensions of simple-injective rings

Cites Work

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• On dual rings and their modules
• Direct sums of almost relative injective modules
• Self-injective rings with restricted chain conditions
• Principally injective rings
• Commutative rings whose homomorphic images are self-injective
• A generalization of quasi-Frobenius rings
• On indecomposable injectives over artinian rings
• On continuous semiprimary rings
• A NOTE ON PERFECT SELF-INJECTIVE RINGS
• Rings satisfying certain chain conditions.
• On Quasi‐Artinian Rings
• On a theorem of Fuller

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