Limit Koszul cohomology and torsion theory
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 303-315
Voir la notice de l'article provenant de la source Math-Net.Ru
The new notion of filter set is introduced in this article. We define a Koszul complex with respect to filter set and we consider the generalized limit cohomology functors. The construction generalized a number of earlier theories under review. We consider the connections between limit Koszul cohomology functors and local cohomology functors and generalized local cohomology functors of J. Herzog–Bijan-Zadeh.
@article{FPM_1998_4_1_a20,
author = {V. I. Levankov},
title = {Limit {Koszul} cohomology and torsion theory},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {303--315},
publisher = {mathdoc},
volume = {4},
number = {1},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a20/}
}
V. I. Levankov. Limit Koszul cohomology and torsion theory. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 303-315. http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a20/