English

The stable category of preordered groups

Category Theory 2023-09-22 v1

Abstract

In this article, we present the stable category of preordered groups associated with some Z-pretorsion theory. We first define such a category as well as the related functor, and then study their properties. By doing so, we provide a description of both Z-kernels and Z-cokernels in the category of preordered groups. Finally, we prove the universal property of the stable category.

Keywords

Cite

@article{arxiv.2309.11953,
  title  = {The stable category of preordered groups},
  author = {Aline Michel},
  journal= {arXiv preprint arXiv:2309.11953},
  year   = {2023}
}

Comments

12 pages

R2 v1 2026-06-28T12:28:09.979Z