Bounded -structures, finitistic dimensions, and singularity categories of triangulated categories
R Biswas, H Chen, KM Rahul, CJ Parker… - arXiv preprint arXiv …, 2023 - arxiv.org
Recently, Amnon Neeman settled a bold conjecture by Antieau, Gepner, and Heller
regarding the relationship between the regularity of finite-dimensional noetherian schemes …
regarding the relationship between the regularity of finite-dimensional noetherian schemes …
Derived equivalences for mirror-reflective algebras
H Chen, C Xi - arXiv preprint arXiv:2309.13964, 2023 - arxiv.org
We show that the construction of mirror-reflective algebras inherits derived equivalences of
gendo-symmetric algebras. More precisely, suppose A and B are gendo-symmetric algebras …
gendo-symmetric algebras. More precisely, suppose A and B are gendo-symmetric algebras …
Mirror-reflective algebras and Tachikawa's second conjecture
H Chen, M Fang, C Xi - arXiv preprint arXiv:2211.08037, 2022 - arxiv.org
Given an algebra with an idempotent, we introduce two procedures to construct families of
new algebras, termed mirror-reflective algebras and reduced mirror-reflective algebras. We …
new algebras, termed mirror-reflective algebras and reduced mirror-reflective algebras. We …
[PDF][PDF] Tachikawa's second conjecture, derived recollements, and gendo-symmetric algebras
H Chen, M Fang, C Xi - wemath.cn
Tachikawa's second conjecture for symmetric algebras is shown to be equivalent to
indecomposable symmetric algebras not having any non-trivial stratifying ideals. The …
indecomposable symmetric algebras not having any non-trivial stratifying ideals. The …