Xiaoyan Yang

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20222024

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3 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

Cofiniteness of generalized local cohomology modules for ideals of small dimension

Xiaoyan Yang, Jiaojiao Lu

Let $a$ be an ideal of a commutative noetherian ring $R$ and $M, N$ two finitely generated $R$ -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 $a$ 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…