Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 717-723
Citer cet article
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/
@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},
year = {1998},
volume = {4},
number = {2},
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
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
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a16/
%G ru
%F FPM_1998_4_2_a16
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.
