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

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. 
@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/}
}
TY  - JOUR
AU  - N. V. Glotko
AU  - V. I. Kuz'minov
TI  - On reflective subcategories of quasiabelian categories
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2005
SP  - 68
EP  - 78
VL  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2005_2_a4/
LA  - ru
ID  - SEMR_2005_2_a4
ER  - 
%0 Journal Article
%A N. V. Glotko
%A V. I. Kuz'minov
%T On reflective subcategories of quasiabelian categories
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2005
%P 68-78
%V 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2005_2_a4/
%G ru
%F SEMR_2005_2_a4
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/

[1] Kopylov Ya. A., Kuzminov V. I., “O tochnosti kogomologicheskoi posledovatelnosti dlya korotkoi tochnoi posledovatelnosti kompleksov v poluabelevoi kategorii”, Trudy konferentsii “Geometriya i prilozheniya”, Izd-vo Instituta matematiki, Novosibirsk, 2001, 76–83 | MR | Zbl

[2] Tsalenko M. Sh., Shulgeifer E. G., Osnovy teorii kategorii, Nauka, M., 1974 | MR

[3] Kopylov Ya. A., Kuzminov V. I., “O Ker – Coker – posledovatelnosti v poluabelevoi kategorii”, Sib. mat. zhurn., 41:3 (2000), 615–624 | MR | Zbl

[4] Kuzminov V. I., Cherevikin A. Yu., “O poluabelevykh kategoriyakh”, Sib. mat. zhurn., 13:6 (1972), 1284–1294 | MR

[5] Kuzminov V. I., Shvedov I. A., “Gomologicheskie aspekty teorii banakhovykh kompleksov”, Sib. mat. zhurn., 40:4 (1999), 893–904 | MR

[6] Raikov D. A., “Poluabelevy kategorii”, Dokl. AN SSSR, 188:5 (1969), 1006–1009 | MR

[7] Shefer Kh., Topologicheskie vektornye prostranstva, Mir, M., 1971 | MR | Zbl