3 papers
math.RA2026
Differential graded Brauer groups over dg-rings
Xiaoxiao Xu, Alexander Zimmermann
Brauer groups of graded rings were defined and studied by Caenepeel and van Oystaeyen. We study the question what happens to this group if a -graded ring carries a dif…
math.RT2024
A recollement approach to Han's conjecture
Ren Wang, Xiaoxiao Xu, Jinbi Zhang +1
A conjecture due to Y. Han asks whether that Hochschild homology groups of a finite dimensional algebra vanish for sufficiently large degrees would imply that the algebra is of fin…
math.RT2024
Categorical properties and homological conjectures for bounded extensions of algebras
Yongyun Qin, Xiaoxiao Xu, Jinbi Zhang +1
An extension of finite dimensional algebras is bounded if the --bimodule is -tensor nilpotent, its projective dimension is finite and $\mathrm{Tor}_i^B(…