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

Representation Theory 2025-05-02 v1 Rings and Algebras

Abstract

Let AA be a gentle algebra, and BB and CC be its BD-gentle algebra and CM-Auslander algebra, respectively. In this paper, we show that the representation-finiteness of AA, BB and CC coincide and the representation-discreteness of AA, BB and CC coincide.

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Cite

@article{arxiv.2505.00072,
  title  = {On BD-algebra and CM-Auslander algebra for a gentle algebra and their representation types},
  author = {Mengdie Zhang and Yu-Zhe Liu and Chao Zhang},
  journal= {arXiv preprint arXiv:2505.00072},
  year   = {2025}
}

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25 pages