Adic-completion, dual results
(Anne-Marie Simon)

Let a be an ideal of a commutative ring A. There is a kind of duality between the left derived functors Uai of the a-adic completion functor, called local homology functors, and the local cohomology functors Hia.

Some dual results are obtained for these Uai, and also inequalities involving both local homology and local cohomology when the ring A is noetherian or more generally when the Ua and Ha-global dimensions of A are finite.

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