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arXiv · 2505.00072

On BD-algebra and CM-Auslander algebra for a gentle algebra and their representation types

Mengdie Zhang·Yu-Zhe Liu·Chao Zhang
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Abstract

Let $A$ be a gentle algebra, and $B$ and $C$ be its BD-gentle algebra and CM-Auslander algebra, respectively. In this paper, we show that the representation-finiteness of $A$, $B$ and $C$ coincide and the representation-discreteness of $A$, $B$ and $C$ coincide.

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BibTeXRIS

Mengdie Zhang, Yu-Zhe Liu, Chao Zhang. 2025-04-30. On BD-algebra and CM-Auslander algebra for a gentle algebra and their representation types. https://arxiv.org/abs/2505.00072

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