Let a be an ideal of a commutative ring A. There is a kind of duality between the left derived functors Ui a of the a-adic completion functor, called local homology functors, and the local cohomology functors Ha i.
Some dual results are obtained for these Ui a, 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.
@article{urn:eudml:doc:40980,
title = {Adic-completion and some dual homological results.},
journal = {Publicacions Matem\`atiques},
volume = {36},
year = {1992},
pages = {965-979},
mrnumber = {MR1210029},
zbl = {0839.13015},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40980}
}
Simon, Anne-Marie. Adic-completion and some dual homological results.. Publicacions Matemàtiques, Tome 36 (1992) pp. 965-979. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40980/