2 papers
math.RT2026
On Geometric Models of String Algebras: Uniqueness of Surfaces and Existence of Red Punctures
Zheng Xin, Lingchun Zhang
A geometric model for string algebras was recently established in \cite{BC24}. Building upon this framework, we characterize the class of string algebras whose geometric models are…
math.RT2026
Global dimension of a string algebra
Zheng Xin, Lingchun Zhang
In this paper, we characterize the global dimension of a string algebra by using combinatorial methods. Moreover, we establish a necessary and sufficient condition for when the glo…