A note on gluing cosilting objects
Representation Theory
2025-08-13 v3
Abstract
Based on the recent works of M. Saorin and A. Zvonoreva on gluing (co)silting objects and of L. Angeler Hugel, R. Laking, J. Stovicek and J. Vitoria on mutating (co)silting objects, we first study further on gluing pure-injective cosilting objects in algebraically compactly generated triangulated categories and gluing cosilting complexes in the derived categories of rings. Then we discuss the compatibility of cosilting gluing and cosilting mutation.
Keywords
Cite
@article{arxiv.2311.00920,
title = {A note on gluing cosilting objects},
author = {Yongliang Sun and Yaohua Zhang},
journal= {arXiv preprint arXiv:2311.00920},
year = {2025}
}
Comments
17 pages. To appear in Algebras and Representation Theory