Limit Koszul cohomology and torsion theory
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 303-315
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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.