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Macdonald dual in the semilocal case and applications to local homology and local cohomology
This paper extends Macdonald's duality theory and Cuong-Nam's local homology theory -- which is in some sense dual to the local cohomology theory of A. Grothendieck [Gro1] -- to semilocal noetherian rings equipped with the $J$-adic topology. By overcoming the key structural obstructions of the semil
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