通过主导消解子分类定理看局部上同调模的零化子
交换代数
2021-08-27 v2
摘要
本文研究局部上同调模何时具有不依赖于理想选取的零化子。Takahashi 对交换 Noether 环上有限生成模范畴的主导消解子进行了分类。我们证明他的分类定理描述了在带某些假设的有限维环或 Cohen-Macaulay 环上局部上同调模的零化结果。
引用
@article{arxiv.2105.00692,
title = {Annihilators of local cohomology modules via a classification theorem of the dominant resolving subcategories},
author = {Takeshi Yoshizawa},
journal= {arXiv preprint arXiv:2105.00692},
year = {2021}
}
备注
10 pages; In the second version, minor revisions were made, including Remark 5.5