Recollements and stratifying ideals
Representation Theory
2016-06-28 v2
Abstract
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.
Cite
@article{arxiv.1606.05992,
title = {Recollements and stratifying ideals},
author = {Lidia Angeleri H\" ugel and Steffen Koenig and Qunhua Liu and Dong Yang},
journal= {arXiv preprint arXiv:1606.05992},
year = {2016}
}
Comments
17 pages. Reference [6] is added