English

The generalized Auslander-Reiten duality on a module category

Representation Theory 2022-03-30 v2

Abstract

We characterize the generalized Auslander--Reiten duality on the category of finitely presented modules over some certain Hom-finite category. Examples include the category FI of finite sets with injections, and the one VI of finite dimensional vector spaces with linear injections over a finite field.

Keywords

Cite

@article{arxiv.1903.01094,
  title  = {The generalized Auslander-Reiten duality on a module category},
  author = {Pengjie Jiao},
  journal= {arXiv preprint arXiv:1903.01094},
  year   = {2022}
}

Comments

final version

R2 v1 2026-06-23T07:57:08.563Z