1 citations · 1 across the 11 of their papers we have counts for
11 papers
G-dimensions for DG-modules over commutative DG-rings
Jiangsheng Hu, Xiaoyan Yang, Rongmin Zhu
We define and study a notion of G-dimension for DG-modules over a non-positively graded commutative noetherian DG-ring . Some criteria for the finiteness of the G-dimension of a…
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…
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…
Cosupport of artinian modules
Xiaoyan Yang
Let be a commutative local noetherian ring. For an artinian -module , we show the equality using the semi-discret…
Coartinianess of local homology modules for ideals of small dimension
Jingwen Shen, Pinger Zhang, Xiaoyan Yang
Let be an ideal of a commutative noetherian ring and an -module with Cosupport in . We show that is -coartinia…
Modules cofinite with respect to ideals of small dimensions
Xiaoyan Yang, Jingwen Shen
Let be an ideal of a noetherian (not necessarily local) ring and an -module with . We show that if $\ma…
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 $\textrm{f}\textrm{-}\mathrm{grad}_…
Cohomology of torsion and completion of N-complexes
Xiaoyan Yang
We introduce the notions of Koszul -complex, ech -complex and telescope -complex, explicit derived torsion and derived completion functors in the deriv…
Cosupport for triangulated categories
Xiaoyan Yang
The goal of the article is to better understand cosupport in triangulated categories since it is still quite mysterious. We study boundedness of local cohomology and local homology…
Tate-Vogel and relative cohomologies of complexes with respect to cotorsion pairs
Jiangsheng Hu, Huanhuan Li, Jiaqun Wei +2
We study Tate-Vogel and relative cohomologies of complexes by applying the model structure induced by a complete hereditary cotorsion pair ($\A$, $\B$) of modules. We show first th…