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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…
Singular equivalences and Auslander-Reiten conjecture
Yiping Chen, Wei Hu, Yongyun Qin +1
Auslander-Reiten conjecture, which says that an Artin algebra does not have any non-projective generator with vanishing self-extensions in all positive degrees, is shown to be inva…
The finite EI categories of Cartan type
Xiao-Wu Chen, Ren Wang
To each symmetrizable Cartan matrix, we associate a finite free EI category. We prove that the corresponding category algebra is isomorphic to the algebra defined in [C. Geiss, B.…
The spectrum of the singularity category of a category algebra
Ren Wang
Let $\C$ be a finite projective EI category and be a field. The singularity category of the category algebra $k\C$ is a tensor triangulated category. We compute its spectrum in…