Mininjective rings

DOI10.1006/jabr.1996.6796zbMath0879.16002OpenAlexW4212795299MaRDI QIDQ1355636

Mohamed F. Yousif, W. Keith Nicholson

Publication date: 21 January 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6796

zbMATH Keywords

right Artinian ringsquasi-Frobenius ringssemiperfect ringslocal idempotentsbasic idempotentsleft Kasch ringsNakayama permutationsright mininjectivitysimple right idealssquarefree socles

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (59)

Simple-Baer Rings and Minannihilator Modules ⋮ On finitely embedded rings ⋮ On Generalizations of PF-Rings ⋮ Generalization of injective S-acts ⋮ FP-Injective, Simple-Injective, and Quasi-Frobenius Rings ⋮ On Artiness of Right CF Rings ⋮ When Does Every Simple Module Have a Projective Envelope? ⋮ Dual-bimodules and ab5^∗condition ⋮ Rings in which certain right ideals are direct summands of annihilators ⋮ MC2 RINGS AND WQD RINGS ⋮ On continuous rings ⋮ On Noetherian rings with essential socle ⋮ Weakly-Abel rings and weakly exchange rings. ⋮ Unnamed Item ⋮ Classifying annihilating-ideal graphs of commutative artinian rings ⋮ SOME STUDIES ON GZI RINGS ⋮ Frobenius-Artin algebras and infinite linear codes ⋮ On simple-injective modules ⋮ Some results on quasi-Frobenius rings ⋮ Strongly Simple-Injective Rings and Modules ⋮ Semiregular, semiperfect and perfect rings relative to an ideal. ⋮ Rings with the dual of the isomorphism theorem. ⋮ Properties of Modules and Rings Relative to Some Matrices ⋮ On dual pairs and simple-injective modules ⋮ Ikeda-Nakayama rings ⋮ Comorphic rings ⋮ Generalizations of Semiregular Rings^# ⋮ Notes on quasi-Frobenius rings ⋮ MacWilliams’ extension theorem for infinite rings ⋮ Some characterizations of quasi-Frobenius rings ⋮ WEAKLY CONTINUOUS AND C2-RINGS ⋮ FP-RINGS ⋮ CS rings and nakayama permutations ⋮ n-INJECTIVE ANDn-FLAT MODULES ⋮ FINITE QUASI-FROBENIUS MODULES AND LINEAR CODES ⋮ Some results on MP-injectivity and MGP-injectivity of rings and modules. ⋮ On Semi-Primary Self-Injective Rings and Faith's Quasi-Frobenius Conjecture ⋮ Almost MGP-injective rings. ⋮ \(I\)-\(n\)-coherent rings, \(I\)-\(n\)-semihereditary rings, and \(I\)-regular rings. ⋮ MP-injective rings and MGP-injective rings. ⋮ Annihilators and the CS-condition ⋮ Left WMC2 rings. ⋮ Modules whose injective endomorphisms are essential ⋮ WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM ⋮ Pseudo-Frobenius Rings: Characterizations and Questions ⋮ On maximal injectivity. ⋮ On a Generalization of Injective Rings ⋮ Study of formal triangular matrix rings ⋮ On commutative trivial extensions ⋮ On General Injective Rings with Chain Conditions ⋮ Rad-injective and Almost-injective Modules and Rings ⋮ Soc-Injective Rings and Modules* ⋮ Rings Related to Mininjective and Min-Flat Modules ⋮ Max-projective modules ⋮ Min-Flat Modules and Min-Coherent Rings ⋮ Characterizations of QF Rings ⋮ The rings characterized by minimal left ideals. ⋮ On infinite MacWilliams rings and minimal injectivity conditions ⋮ Extensions of simple-injective rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on quasi-Frobenius rings
• A characterization of QF-algebras
• On dual rings and their modules
• On modules with extending properties
• Self mini-injective rings
• Distributive modules
• Continuous rings with chain conditions
• Principally injective rings
• A generalization of quasi-Frobenius rings
• On indecomposable injectives over artinian rings
• Rings in which minimal left ideals are projective
• On continuous semiprimary rings
• Continuous Rings with Acc on Annihilators
• Rings with the principal extension property
• On Continuous Rings and Self Injective Rings
• A Note on Quasi-Frobenius Rings and Ring Epimorphisms
• Rings satisfying certain chain conditions.
• On Quasi‐Artinian Rings
• On a theorem of Fuller

This page was built for publication: Mininjective rings