Singular equivalences induced by ring extensions

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Abstract

Let B 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 (Mon,) studied this question.

synapsesocial.com/papers/68e73a7cb6db6435876b3c8c https://doi.org/https://doi.org/10.48550/arxiv.2403.12412

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