Geodesic
On reflective subcategories of quasiabelian categories
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 2 (2005), pp. 68-78 
N. V. Glotko; V. I. Kuz'minov. On reflective subcategories of quasiabelian categories. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 2 (2005), pp. 68-78. http://geodesic.mathdoc.fr/item/SEMR_2005_2_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We discuss some category-theoretical and homological aspects of functional analysis. We consider a pair consisting of a quasiabelian category and its full reflective subcategory. We introduce notions of reduced and nonreduced cohomologies for complexes in reflective subcategory of quasiabelian category and develop a version of “relative homological algebra” for such subcategories.

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