Document Type : Original Manuscript


Department of Mathematics, Lorestan University, P.O. Box 68151-44316, Khorram Abad, Iran.


Let (R,m) be a Noetherian local ring, M be a finitely generated R-module of dimension n and a be an ideal of R. In this paper, generalizing the main results of Dibaei and Jafari [3] and Rezaei [8], we will show that if T is a subset of AsshR M, then there exists an ideal a of R such that AttHna (M)=T. As an application, we give some relationships between top local cohomology modules and top formal local cohomology modules.