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.
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页数：18
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