Relative Semi-abelian Categories

被引：7
|
作者：
Janelidze, Tamar [1 ]
机构：
[1] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Cape Town, South Africa
来源：
APPLIED CATEGORICAL STRUCTURES | 2009年 / 17卷 / 04期
基金：
美国国家科学基金会;
关键词：
Relative semi-abelian category; Semi-abelian category; Relative homological category; Regular epimorphism;
D O I：
10.1007/s10485-008-9155-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define a relative semi-abelian category as a pair (C,E), where C is a pointed category with finite limits, and E is a class of regular epimorphisms in C satisfying certain conditions, stronger than those defining a relative homological category. Some results on the equivalence of the so-called old-style and new-style axioms for the semi-abelian categories are extended to the relative case.
引用
收藏
页码：373 / 386
页数：14
相关论文
共 50 条
12345