ON THE FINITENESS OF FORMAL LOCAL COHOMOLOGY MODULES

نویسندگان
Rezaei, Shahram ID 1
Gasemi-Kalemasihi, Mahbobeh ID 2

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

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

doi
10.22044/jas.2022.11072.1549
چکیده

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

کلیدواژه‌ها
formal local cohomology, Local cohomology, finiteness