Global dimension of a string algebra

Zheng Xin; Lingchun Zhang

Global dimension of a string algebra

Representation Theory 2026-07-13 v1 Rings and Algebras

Authors: Zheng Xin , Lingchun Zhang

Abstract

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 global dimension of a string algebra is infinite.

Cite

@article{arxiv.2607.11552,
  title  = {Global dimension of a string algebra},
  author = {Zheng Xin and Lingchun Zhang},
  journal= {arXiv preprint arXiv:2607.11552},
  year   = {2026}
}

Comments

13 pages, to appear in Arch. Math. (Basel)