Adic-completion and some dual homological results.

Simon, Anne-Marie. "Adic-completion and some dual homological results.." Publicacions Matemàtiques 36.2B (1992): 965-979. <http://eudml.org/doc/40980>.

@article{Simon1992,
abstract = {Let a be an ideal of a commutative ring A. There is a kind of duality between the left derived functors Uia of the a-adic completion functor, called local homology functors, and the local cohomology functors Hai.Some dual results are obtained for these Uia, 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.},
author = {Simon, Anne-Marie},
journal = {Publicacions Matemàtiques},
keywords = {adic completion; local cohomology; local homology; codepth},
language = {eng},
number = {2B},
pages = {965-979},
title = {Adic-completion and some dual homological results.},
url = {http://eudml.org/doc/40980},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Simon, Anne-Marie
TI - Adic-completion and some dual homological results.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2B
SP - 965
EP - 979
AB - Let a be an ideal of a commutative ring A. There is a kind of duality between the left derived functors Uia of the a-adic completion functor, called local homology functors, and the local cohomology functors Hai.Some dual results are obtained for these Uia, 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.
LA - eng
KW - adic completion; local cohomology; local homology; codepth
UR - http://eudml.org/doc/40980
ER -