回忆与分层理想
Recollements and stratifying ideals
摘要：
具有分层核的满射同调满同态可以用来构造导模范畴的子元。这些“分层”要素是从模块范畴的要素派生出来的。每一个元素都可以用这种形式来表示吗？在提供与分层要素等同的要素特征之后，将给出否定的回答。此外，环满态是“分层”的标准，以及这种满态的建设。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
