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arXiv · 2211.08135

On the asymmetry of finite delooping levels

YongLiang Sun·Jinbi Zhang
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Abstract

For any Artin algebra, we construct a related algebra that increases the delooping level on one side while decreasing it to zero on the opposite side. This dual construction corresponds to Cummings' original work on finite dimensional algebras, later extended to rings by Henning Krause. As an application, we show that the finite delooping level is not left-right symmetric.

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YongLiang Sun, Jinbi Zhang. 2022-11-15. On the asymmetry of finite delooping levels. https://arxiv.org/abs/2211.08135

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