Geodesic
On reflective subcategories of quasiabelian categories
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 2 (2005), pp. 68-78

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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. 
@article{SEMR_2005_2_a4,
     author = {N. V. Glotko and V. I. Kuz'minov},
     title = {On reflective subcategories of quasiabelian categories},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {68--78},
     publisher = {mathdoc},
     volume = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2005_2_a4/}
}
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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/