4 papers
Triangulated categories with a compact silting object, Brown-Comenetz duality and Brown representability theorems
Xiaohu Chen, Yongliang Sun, Yaohua Zhang
The paper develops a Brown--Comenetz dual framework for Neeman's representability theorems for triangulated categories with a single compact generator (Invent. math., 244:531-616,…
Localization theorems for weakly approximable triangulated categories
Yongliang Sun, Jinbi Zhang, Yaohua Zhang
Weakly approximable triangulated categories, introduced by Neeman, provide a powerful framework for studying localization phenomena in triangulated categories. In this paper, we es…
N-fold module factorizations: triangle equivalences and recollements
Yongliang Sun, Yaohua Zhang
As an extension of Eisenbud's matrix factorization into the non-commutative realm, X.W. Chen introduced the concept of module factorizations over an arbitrary ring. A theorem of Ch…
A note on gluing cosilting objects
Yongliang Sun, Yaohua Zhang
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…