Local cohomology and Serre subcategories
Local cohomology and Serre subcategories
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局部上同调和 Serre 子类别
DOI：
10.1016/j.jalgebra.2008.04.002
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发表时间：
2008
影响因子：
0.9
通讯作者：
Leif Melkersson
中科院分区：
文献类型：
--
作者：
M. Aghapournahr;Leif Melkersson
本文研究了模M的局部上同调模Han（M）在模范畴的某些Serre子范畴中的从属关系，分别从下（i<n）和上（i>n）两个方面进行了讨论.定义了深度序列和正则序列的推广。证明了这些概念与局部上同调的关系，并证明了Serre子范畴上值域中有限模的局部上同调模的隶属度仅取决于模的支集.
The membership of the local cohomology modules Han(M) of a module M in certain Serre subcategories of the category of modules is studied from below (i<n) and from above (i>n). Generalizations of depth and regular sequences are defined. The relation of these notions to local cohomology are found. It is shown that the membership of the local cohomology modules of a finite module in a Serre subcategory in the upper range just depends on the support of the module.