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

Document Type : Original Manuscript

Authors

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

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

Abstract

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.

Keywords

References

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Journal of Algebraic Systems
Volume 10, Issue 2
January 2023
Pages 245-258

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