SOME FEATURES AND COFINITENESS PRIMES OF LOCAL COHOMOLOGY MODULES

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