English

A noetherian criterion for sequences of modules

Rings and Algebras 2024-10-04 v3 Representation Theory

Abstract

We prove a noetherian criterion for a sequence of modules with linear maps between them. This generalizes a noetherian criterion of Gan and Li for infinite EI categories. We apply our criterion to the linear categories associated to certain diagram algebras defined by Patzt.

Keywords

Cite

@article{arxiv.2301.01357,
  title  = {A noetherian criterion for sequences of modules},
  author = {Wee Liang Gan and Khoa Ta},
  journal= {arXiv preprint arXiv:2301.01357},
  year   = {2024}
}
R2 v1 2026-06-28T08:01:42.485Z