The Category of Hypergroups: seeking for a generalized version of Abelian Categories

Kaique Matias de Roberto; Ana Luiza da Conceição Tenório

doi:10.14244/lajm.v2i02.14

Authors

Kaique Matias de Roberto Instituto de Matemática e Estatística USP
Ana Luiza da Conceição Tenório IME USP

DOI:

https://doi.org/10.14244/lajm.v2i02.14

Keywords:

Hypergroups, Homological Algebra, Abelian Category

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.

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