Injective Cogenerator Rings and a Theorem of Tachikawa

DOI10.2307/2041104zbMath0345.16018OpenAlexW4248886799MaRDI QIDQ4113972

Carl Faith

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041104

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Quasi-Frobenius rings (16L60) Representation theory of associative rings and algebras (16Gxx)

Related Items

Semi-perfect FPF rings and applications, Semiperfect FPF Rings, Two theorems of QF rings., The Structure of Johns Rings, Self-Injective Rings, Semiperfect Prüfer rings and FPF rings, A classification of indecomposable Quasi-Frobenius rings I, Injective Cogenerator Rings and a Theorem of Tachikawa. II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Injective modules over Noetherian rings
• Über Kogeneratoren
• A generalization of quasi-Frobenius rings
• Direct-sum representations of injective modules
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Completely Faithful Modules and Self-Injective Rings
• Some generalizations of $QF$-rings
• A Generalization of Quasi-Frobenius Rings
• Self-injective rings
• Self-injective rings