3 papers
math.RT2025
Homological Bounds of Gentle algebras
Yu-Zhe Liu, Xin Ma, Jiacheng Xu +1
This paper studies the homological bounds of gentle algebras, i.e., the upper bounds for the sum of the projective and injective dimensions of indecomposable modules over gentle al…
math.RT2025
On BD-algebra and CM-Auslander algebra for a gentle algebra and their representation types
Mengdie Zhang, Yu-Zhe Liu, Chao Zhang
Let be a gentle algebra, and and be its BD-gentle algebra and CM-Auslander algebra, respectively. In this paper, we show that the representation-finiteness of , …
math.RT2024
On monomial algebras with representation-finite enveloping algebras
Jianguo Zhou, Yu-Zhe Liu, Chao Zhang
The present paper mainly considers the representation type of the enveloping algebra of monomial algebra. Let be a monomial algebra and $A^e= A\otimes_{\mathrm{l}\!\mathrm{k}}…