English

Artinianness of local cohomology modules

Commutative Algebra 2008-09-24 v1 Algebraic Geometry

Abstract

Let AA be a noetherian ring, \fa\fa an ideal of AA, and MM an AA--module. Some uniform theorems on the artinianness of certain local cohomology modules are proven in a general situation. They generalize and imply previous results about the artinianness of some special local cohomology modules in the graded case.

Keywords

Cite

@article{arxiv.0809.3814,
  title  = {Artinianness of local cohomology modules},
  author = {Moharram Aghapournahr and Leif Melkersson},
  journal= {arXiv preprint arXiv:0809.3814},
  year   = {2008}
}

Comments

8 pages

R2 v1 2026-06-21T11:23:00.595Z