Counterinjective modules and duality
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Publication:1262930
DOI10.1016/0022-4049(89)90011-XzbMath0687.16021MaRDI QIDQ1262930
Publication date: 1989
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
endomorphism ringsfaithfully balanced bimodulesquasi-injective moduleQF-ringsinjective cogeneratorleft Morita duality\(\Delta\)- injectivity\(\Sigma\)-injectivitycounterinjective modules
Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90)
Related Items (8)
Endomorphism rings with morita duality ⋮ On duality theory and \(AB5^*\) modules ⋮ Relative QF-3' modules and QF-3 modules ⋮ Linear compactness and Morita duality for Grothendieck categories ⋮ On quasi-duaiity modules ⋮ Natural and Doubly Natural Dualities ⋮ Morita Duality for Grothendieck Categories with Applications to Coalgebras ⋮ Morita dualities associated with the \(R\)-dual functors
Cites Work
- Finiteness of the injective hull
- QF-3' rings and Morita duality
- The rational Loewy series and nilpotent ideals of endomorphism rings
- A note on linearly compact modules
- Good dualities and strongly quasi-injective modules
- Linear compactness and Morita duality
- Modules with decompositions that complement direct summands
- Injective Modules Over Prufer Rings
- Closed submodules of free modules over the endomorphism ring of a quasi-injective module
- Endomorphism rings of cogenerators with finite length
- On the exactness of the completion functor
- The Dual of the Notion of “Finitely Generated”
- Some Examples of Right Self-Injective Rings which are not Left Self-Injective
- Über absolut reine Ringe.
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