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arXiv · 2403.12412

Singular equivalences induced by ring extensions

Yongyun Qin
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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.

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Yongyun Qin. 2024-03-19. Singular equivalences induced by ring extensions. https://arxiv.org/abs/2403.12412

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