Let (R,m) be a Noetherian local ring and M a finitely generated R-module. Let i be a non negative integer. Consider the following property for the Artinian local cohomology module: Ann_R(0:_{H^i_m(M)}p=p for all prime ideals p containing Ann_RH^i_m(M). In this paper, we study this property  of  H^i_m(M) in order to investigate the universal catenaricity of the ring R/Ann_RM and the unmixedness of the ring R/p for certain p in SuppM. We also characterize this property  for H^i_m(M) and obtain the associativity formulae for multiplicity of this module.

Tải file On the unmixedness and universal catenaricity of local rings and local cohomology modules, J. Algebra (SCI) 321 (2009), 303-311. tại đây