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Another version of cosupport for complexes
Xiaoyan Yang
The goal of the article is to get a satisfactory theory of cosupport in the derived category , this is done by introducing another versions of the "big" and "small"…
The -Filter grade of an ideal and --modules
Jingwen Shen, Xiaoyan Yang
Let be two ideals of a commutative noetherian ring and a finitely generated -module.~We continue to study $\textrm{f}\textrm{-}\mathrm{grad}_…
Cohomology of torsion and completion of N-complexes
Xiaoyan Yang
We introduce the notions of Koszul -complex, ech -complex and telescope -complex, explicit derived torsion and derived completion functors in the deriv…
Cosupport for triangulated categories
Xiaoyan Yang
The goal of the article is to better understand cosupport in triangulated categories since it is still quite mysterious. We study boundedness of local cohomology and local homology…