Xiao-Yan Yang

most citedCosupport for triangulated categories

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math.AC2021

Coartinianess of local homology modules for ideals of small dimension

Jingwen Shen, Pinger Zhang, Xiaoyan Yang

Let $a$ be an ideal of a commutative noetherian ring $R$ and $M$ an $R$ -module with Cosupport in $V (a)$ . We show that $M$ is $a$ -coartinia…

math.AC2021

Modules cofinite with respect to ideals of small dimensions

Xiaoyan Yang, Jingwen Shen

Let $a$ be an ideal of a noetherian (not necessarily local) ring $R$ and $M$ an $R$ -module with $Supp_{R} M \subseteq V (a)$ . We show that if $\ma…

math.AC2020

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 $D (R)$ , this is done by introducing another versions of the "big" and "small"…

math.AC2020

The $a$ -Filter grade of an ideal $b$ and $(a, b)$ - $f$ -modules

Jingwen Shen, Xiaoyan Yang

Let $a, b$ be two ideals of a commutative noetherian ring $R$ and $M$ a finitely generated $R$ -module.~We continue to study $\textrm{f}\textrm{-}\mathrm{grad}_…

math.AC2020

Cohomology of torsion and completion of N-complexes

Xiaoyan Yang

We introduce the notions of Koszul $N$ -complex, $C ˇ$ ech $N$ -complex and telescope $N$ -complex, explicit derived torsion and derived completion functors in the deriv…

Coartinianess of local homology modules for ideals of small dimension

Modules cofinite with respect to ideals of small dimensions

Another version of cosupport for complexes

The a-Filter grade of an ideal b and (a,b)-f-modules

Cohomology of torsion and completion of N-complexes

The $a$ -Filter grade of an ideal $b$ and $(a, b)$ - $f$ -modules