Recollements and stratifying ideals
Recollements and stratifying ideals
复制标题
DOI：
10.1016/j.jalgebra.2017.04.003
复制
发表时间：
2016-06
期刊：
影响因子：
--
通讯作者：
Lidia Angeleri Hugel;S. Koenig;Qunhua Liu;D. Yang
中科院分区：
文献类型：
--
作者：
Lidia Angeleri Hugel;S. Koenig;Qunhua Liu;D. Yang
具有分层核的满射同构可以用来构造派生模范畴的集合。这些“分层”的重新集合来源于模块类别的重新集合。所有的回忆都可以用这种形式表示吗？在提供与分层记忆相当的记忆特征后，将给出否定答案。此外，将给出环上纯态“分层”的标准以及这种下纯态的构造。
Surjective homological epimorphisms with stratifying kernel can be used to construct recollements of derived module categories. These ‘stratifying’ recollements are derived from recollements of module categories. Can every recollement be put in this form, up to equivalence? A negative answer will be given after providing a characterisation of recollements equivalent to stratifying ones. Moreover, criteria for a ring epimorphism to be ‘stratifying’ will be presented as well as constructions of such epimorphisms.