Cofiniteness and coassociated primes of local cohomology modules

Abstract

Let $R$ be a noetherian ring, \fa an ideal of $R$ such that \dim R/\fa=1 and $M$ a finite $R$--module. We will study cofiniteness and some other properties of the local cohomology modules \lc^{i}_{\fa}(M). For an arbitrary ideal \fa and an $R$--module $M$ (not necessarily finite), we will characterize \fa--cofinite artinian local cohomology modules. Certain sets of coassociated primes of top local cohomology modules over local rings are characterized.Comment: 10 pages, to appear in Mathematica Scandinavic