THE STABLE CATEGORY OF PREORDERED GROUPS

被引：0

作者：

Michel, Aline ^{[1
]}

机构：

[1] Catholic Univ Louvain, Inst Rech Math & Phys, Chemin Cyclotron 2, B-1348 Louvain La Neuve, Belgium

来源：

THEORY AND APPLICATIONS OF CATEGORIES | 2024年 / 41卷

关键词：

Preordered groups; torsion theory; pretorsion theory; stable category; torsion theory functor; Grothendieck group; L-kernel; I'-cokernel; TORSION THEORIES; RADICALS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present the stable category of preordered groups associated with some L-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 I'-kernels and L-cokernels in the category of preordered groups. Finally, we prove the universal property of the stable category.

引用

页数：18

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