The Torsion Theory and the Melkersson Condition
The Torsion Theory and the Melkersson Condition
复制标题
扭转理论和梅尔克森条件
DOI：
10.21136/cmj.2019.0193-18
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发表时间：
2019
影响因子：
0.5
通讯作者：
Takeshi Yoshizawa
中科院分区：
文献类型：
--
作者：
Takeshi Yoshizawa
我们考虑一个推广的概念的挠理论，这是与一个Serre子范畴的交换诺特环。2008年，Aghapournahr和Melkersson研究了局部上同调模何时属于模范畴的Serre子范畴。在他们的研究中，Melkersson条件的概念被定义为局部上同调理论中的一个合适条件。本文的目的之一是说明Melkersson条件的概念在挠理论中是如何自然地出现的。
We consider a generalization of the notion of torsion theory, which is associated with a Serre subcategory over a commutative Noetherian ring. In 2008 Aghapournahr and Melkersson investigated the question of when local cohomology modules belong to a Serre subcategory of the module category. In their study, the notion of Melkersson condition was defined as a suitable condition in local cohomology theory. One of our purposes in this paper is to show how naturally the concept of Melkersson condition appears in the context of torsion theories.