Silting, cosilting, and extensions of commutative ring
Commutative Algebra
2022-04-05 v1
Abstract
We study the transfer of (co)silting objects in derived categories of module categories via the extension functors induced by a morphism of commutative rings. It is proved that the extension functors preserve (co)silting objects of (co)finite type. In many cases the bounded silting property descends along faithfully flat ring extensions. In particular, the notion of bounded silting complex is Zariski local.
Keywords
Cite
@article{arxiv.2204.01374,
title = {Silting, cosilting, and extensions of commutative ring},
author = {Simion Breaz and Michal Hrbek and George Ciprian Modoi},
journal= {arXiv preprint arXiv:2204.01374},
year = {2022}
}
Comments
25 pages