On BD-algebra and CM-Auslander algebra for a gentle algebra and their representation types
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915268054220800 |
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| author | Zhang, Mengdie Liu, Yu-Zhe Zhang, Chao |
| author_facet | Zhang, Mengdie Liu, Yu-Zhe Zhang, Chao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00072 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On BD-algebra and CM-Auslander algebra for a gentle algebra and their representation types Zhang, Mengdie Liu, Yu-Zhe Zhang, Chao Representation Theory Rings and Algebras 16G10, 16G60 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. |
| title | On BD-algebra and CM-Auslander algebra for a gentle algebra and their representation types |
| topic | Representation Theory Rings and Algebras 16G10, 16G60 |
| url | https://arxiv.org/abs/2505.00072 |