ON THE FINITENESS OF FORMAL LOCAL COHOMOLOGY MODULES

Document Type : Original Manuscript

Authors

Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395- 4697, Tehran, Iran.

Abstract

Let a be an ideal of local ring (R;m) and M a nitely generated R-module. In
this paper, we prove some results concerning niteness and minimaxness of formal local cohomology
modules. In particular, we investigate some properties of top formal local cohomology
FdimM=aM
a (M) and we determine CosR(FdimM=aM
a (M)), AnnR(FdimM=aM
a (M)) and
AttR(FdimM=aM
a (M)).

Keywords


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