Document Type : Original Manuscript


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

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


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.


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