Exactness of the Double Dual

DOI10.2307/2043764zbMath0472.16006OpenAlexW4253176014MaRDI QIDQ3926749

Kent R. Fuller, Robert R. Colby

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043764

zbMATH Keywords

injective resolutionQF-ringleft artinian ringQF-3 ringfaithful left moduleleft dominant dimension

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Quasi-Frobenius rings (16L60) Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20) Homological methods in associative algebras (16Exx)

Related Items

Nakayama's conjecture and the double dual functors, Dominant dimension and idempotent ideals, Canonical bimodules and dominant dimension, On \(U\)-dominant dimension., Exactness of the double dual and Morita duality for Grothendieck categories, On rings whose double dual functors preserve monomorphisms

Cites Work

• Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
• On algebras of which every indecomposable representation has an irreducible one as the top or the bottom Leowy constituent
• Duality in QF-3 rings
• Generalized uniserial rings and their Kupisch series
• On indecomposable injectives over artinian rings
• Two characterizations of quasi-Frobenius rings
• Direct Products of Modules
• Rings with Ascending Condition on Annihilators
• The Classification of Algebras by Dominant Dimension
• Generalizations of QF-3 Algebras
• Unnamed Item