Silting, cosilting and extensions of commutative rings
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.
Authors
- Michal Hrbek (ORCID: https://orcid.org/0000-0001-7457-5112)
- Simion Breaz (ORCID: https://orcid.org/0000-0002-8506-4526)
- George Ciprian Modoi (ORCID: https://orcid.org/0000-0001-7603-2867)
Institutions
- Babeș-Bolyai University (RO)
- Czech Academy of Sciences, Institute of Mathematics (CZ)
Publication Details
- Journal
- Mathematical Proceedings of the Cambridge Philosophical Society
- Published
- 2025-10-27
- DOI
- https://doi.org/10.1017/s0305004125101503
- Citations
- 1
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 4.09