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arXiv · 2502.09009

Extension dimensions under singular equivalences and recollements

Jinbi Zhang·Junling Zheng
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Abstract

The extension dimensions of an Artin algebra give a reasonable way of measuring how far an algebra is from being representation-finite. In this paper we mainly study extension dimensions linked by recollements of derived module categories and singular equivalences of Morita type with level, and establish a series of new inequalities and relationships among their extension dimensions.

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Jinbi Zhang, Junling Zheng. 2025-02-13. Extension dimensions under singular equivalences and recollements. https://arxiv.org/abs/2502.09009

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