The Category of Hypergroups: seeking for a generalized version of Abelian Categories
Category Theory
2025-09-11 v2
Abstract
In this paper we study categorical properties of the category of abelian hypergroups that leads to the notion of hyper (almost) preadditive and hyper (almost) abelian categories. Our goal is to create a path towards a general theory of homological algebra for hyper-algebras. This is a first attempt to achieve this goal. We hope to improve the definitions and results, and provide more examples soon.
Keywords
Cite
@article{arxiv.2205.02362,
title = {The Category of Hypergroups: seeking for a generalized version of Abelian Categories},
author = {Kaique Matias de Andrade Roberto and Ana Luiza Tenório},
journal= {arXiv preprint arXiv:2205.02362},
year = {2025}
}
Comments
25 pages