Geodesic
On the~global dimension of the~abelian group valued diagrams category over a totally ordered set
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 717-723

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we shall calculate the global dimension of the category of functors from a totally ordered set to the category of abelian groups. We prove that for the totally ordered set of real numbers this global dimension equals 3. This answers a question of H. Brune. 
@article{FPM_1998_4_2_a16,
     author = {A. A. Khusainov},
     title = {On the~global dimension of the~abelian group valued diagrams category over a totally ordered set},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {717--723},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a16/}
}
TY  - JOUR
AU  - A. A. Khusainov
TI  - On the~global dimension of the~abelian group valued diagrams category over a totally ordered set
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1998
SP  - 717
EP  - 723
VL  - 4
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a16/
LA  - ru
ID  - FPM_1998_4_2_a16
ER  - 
%0 Journal Article
%A A. A. Khusainov
%T On the~global dimension of the~abelian group valued diagrams category over a totally ordered set
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 717-723
%V 4
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a16/
%G ru
%F FPM_1998_4_2_a16
A. A. Khusainov. On the~global dimension of the~abelian group valued diagrams category over a totally ordered set. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 717-723. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a16/