Injectives and simple objects

DOI10.1016/0022-4049(79)90019-7zbMath0428.18012OpenAlexW2062187178MaRDI QIDQ1137114

S. H. Smith

Publication date: 1979

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(79)90019-7

zbMATH Keywords

category of abelian groupsinjectivesprojectivessimple objects

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Projectives and injectives (category-theoretic aspects) (18G05) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15)

Related Items

Subsimple, injective, retract ⋮ Injective objects and cogenerating sets ⋮ Injectives for ring monomorphisms with accessible images ⋮ Functorial radicals and non-abelian torsion ⋮ A categorical approach to largest and smallest connectednesses and disconnectednesses

Cites Work

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• No rings have injective effacements
• Simple rings without zero‐divisors, and Lie division rings
• Non-Abelian Torsion Theories
• Injective Rings
• Embedding Theorems for Groups
• Embedding Non-Associative Rings in Division Rings
• Duality for groups