English

Cofiniteness and coassociated primes of local cohomology modules

Commutative Algebra 2008-10-23 v1 Algebraic Geometry

Abstract

Let RR be a noetherian ring, \fa\fa an ideal of RR such that dimR/\fa=1\dim R/\fa=1 and MM a finite RR--module. We will study cofiniteness and some other properties of the local cohomology modules \lc\fai(M)\lc^{i}_{\fa}(M). For an arbitrary ideal \fa\fa and an RR--module MM (not necessarily finite), we will characterize \fa\fa--cofinite artinian local cohomology modules. Certain sets of coassociated primes of top local cohomology modules over local rings are characterized.

Keywords

Cite

@article{arxiv.0810.3969,
  title  = {Cofiniteness and coassociated primes of local cohomology modules},
  author = {Moharram Aghapournahr and Leif Melkersson},
  journal= {arXiv preprint arXiv:0810.3969},
  year   = {2008}
}

Comments

10 pages, to appear in Mathematica Scandinavica