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arXiv · 2303.06553

The magnitude for Nakayama algebras

Dawei Shen·Yaru Wu
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Abstract

The magnitude for algebras is a generalization of the Euler characteristic. We investigate the magnitude for Nakayama algebras. Using Ringel's resolution quiver, the existence and the value of rational magnitude is given. As a result, we show that the finite global dimension criteria for Nakayama algebras of Madsen and the first author are equivalent.

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Dawei Shen, Yaru Wu. 2023-03-12. The magnitude for Nakayama algebras. https://arxiv.org/abs/2303.06553

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