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arXiv · 2303.06645

The Cohen-Macaulay Auslander algebras of string algebras

Yu-Zhe Liu·Chao Zhang
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Abstract

The Cohen-Macaulay Auslander algebra of any string algebra is explicitly constructed in this paper. Furthermore, we show that a class of special string algebras, which are called to be string algebras with G-condition, are representation-finite if and only if their Cohen-Macaulay Auslander algebras are representation-finite. Finally, the self-injective dimension of gentle algebras is characterized using their Cohen-Macaulay Auslander algebras.

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Yu-Zhe Liu, Chao Zhang. 2023-03-12. The Cohen-Macaulay Auslander algebras of string algebras. https://arxiv.org/abs/2303.06645

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