Abstract local cohomology functors

Details Abstract local cohomology functors Abstract local cohomology functors

2010-01-06

arxiv.org/abs/1001.0862v1

Mathematics

Commutative Algebra

To appear in Mathematical Journal of Okayama University

Scientific paper

We propose to define the notion of abstract local cohomology functors. The
derived functors of the ordinary local cohomology functor with support in the
closed subset defined by an ideal and the generalized local cohomology functor
associated with a given pair of ideals are characterized as elements of the set
of all the abstract local cohomology functors.

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