Jingwen Shen

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20202023

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5 papers · 1 filter

math.AC2023

The local-global principle for the artinianness dimensions

Jingwen Shen, Xiaoyan Yang

Let $R$ be a commutative noetherian ring and $a$ an ideal of $R$ . The goal of this paper is to establish the local-global principle for the artinianness dimension $r_{\m…

math.AC2022

Hartshorne's question on cofinite complexes

Xiaoyan Yang, Jingwen Shen

Let $a$ be a proper ideal of a commutative noetherian ring $R$ and $d$ a positive integer. We answer Hartshorne's question on cofinite complexes completely in the cases…

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

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