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math.AC2022
Cofiniteness of generalized local cohomology modules for ideals of small dimension
Xiaoyan Yang, Jiaojiao Lu
Let be an ideal of a commutative noetherian ring and two finitely generated -modules. By using a spectral sequence argument, it is shown that if either…
math.AC2022
Hartshorne's question on cofinite complexes
Xiaoyan Yang, Jingwen Shen
Let be a proper ideal of a commutative noetherian ring and a positive integer. We answer Hartshorne's question on cofinite complexes completely in the cases…