Annihilators of local cohomology modules over a Cohen-Macaulay ring
Annihilators of local cohomology modules over a Cohen-Macaulay ring
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Cohen-Macaulay 环上局部上同调模的歼灭子
DOI：
10.1016/j.jalgebra.2021.12.011
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发表时间：
2022
影响因子：
0.9
通讯作者：
Yoshizawa Takeshi
中科院分区：
文献类型：
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作者：
Yoshizawa Takeshi
为了确定哪些理想能湮灭局部上同模，人们做了很多努力。Faltings湮灭子定理保证了局部上同模的湮灭子的存在性。然而，一般来说，这些湮灭子取决于理想的选择。研究了不依赖于理想选择的局部上同模的湮灭子的存在性。Dao和Takahashi的显性分辨子范畴分类定理有助于观察有限维Cohen-Macaulay环上湮灭子的存在性。
A lot of efforts have been put into determining which ideals annihilate local cohomology modules. Faltings' Annihilator Theorem ensured the existence of annihilators of local cohomology modules. In general, however, these annihilators depend on the choice of an ideal. This paper investigates the existence of annihilators of local cohomology modules without dependence on the choice of an ideal. Dao and Takahashi's classification theorem of dominant resolving subcategories helps observe the existence of annihilators over a finite-dimensional Cohen-Macaulay ring.
局部上同调和 Serre 子类别
影响因子：
0.9
作者：
M. Aghapournahr;Leif Melkersson
通讯作者：
Leif Melkersson