FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 303-315

Limit Koszul cohomology and torsion theory

V. I. Levankov

Abstract

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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.

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Location: http://mech.math.msu.su/~fpm/eng/98/981/98121h.htm
Last modified: April 8, 1998