FALTINGS’ LOCAL-GLOBAL PRINCIPLE FOR THE MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A SYSTEM OF IDEALS

نویسندگان
Dehghani-Zadeh, F. ID 1
Hajikarimi, A.R. ID 2

1 Department of Mathematics, Islamic Azad University, Yazd branch, Yazd, Iran.

2 Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Isfahan, Iran.

doi
10.22044/jas.2022.10587.1524
چکیده

Let R be a commutative Noetherian ring with nonzero identity. Let φ be a system of ideals of R and let M, N two finitely generated R-modules. We prove that there are local- global principles for the finiteness and minimaxness of generalized local cohomology module H_φ^i (M, N) , in certain cases.

کلیدواژه‌ها
Minimax modules, faltings, generalized local cohomology modules