Abstract local cohomology functors
Commutative Algebra
2010-01-07 v1 Category Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1001.0862,
title = {Abstract local cohomology functors},
author = {Yuji Yoshino and Takeshi Yoshizawa},
journal= {arXiv preprint arXiv:1001.0862},
year = {2010}
}
Comments
To appear in Mathematical Journal of Okayama University