Limit Koszul cohomology and torsion theory

V. I. Levankov

N. E. Bauman Moscow State Technical University

Abstract: 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.

UDC: 512.717

Received: 01.01.1996

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