Year: 2024
Type: preprint
Abstract: Let $B \subseteq A$ be an extension of finite dimensional algebras. We provide a sufficient condition for the existence of triangle equivalences of singularity categories (resp. Gorenstein defect categories) between $A$ and $B$. This result is applied to trivial extensions, Morita rings and triangular matrix algebras to give several reduction methods on singularity categories and Gorenstein defect categories of algebras.
Source: arXiv (Cornell University)
Author: Qin, Yongyun
Institution: Yunnan Normal University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G461101456, G6072287406, G891697490
OpenAlex ID: W4393027268