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

2025/04/30 by Zhang, Mengdie, Liu, Yu-Zhe, Zhang, Chao
#16G10 #16G60 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2505.00072

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.

Citations

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