Modules with Finite Cousin Cohomologies Have Uniform Local Cohomological Annihilators
Commutative Algebra
2007-12-06 v1
Abstract
Let A be a Noetherian ring. It is shown that any finite A--module M of finite Krull dimension with finite Cousin complex cohomologies has a uniform local cohomological annihilator. The converse is also true for a finite module M satisfying (S_2) which is over a local ring with Cohen--Macaulay formal fibres.
Keywords
Cite
@article{arxiv.0712.0665,
title = {Modules with Finite Cousin Cohomologies Have Uniform Local Cohomological Annihilators},
author = {Mohammad T. Dibaei and Raheleh Jafari},
journal= {arXiv preprint arXiv:0712.0665},
year = {2007}
}
Comments
9 pages, to appear in Journal of Algebra