The snail lemma in a pointed regular category

被引：3

作者：

Janelidze, Zurab ^{[1
]}

Vitale, Enrico M. ^{[2
]}

机构：

[1] Univ Stellenbosch, Dept Math Sci, Div Math, Private Bag X1, ZA-7602 Matieland, South Africa

[2] Catholic Univ Louvain, Inst Rech Mathemat & Phys, 2 Ch Cyclotron, B-1348 Louvain La Neuve, Belgium

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2017年 / 221卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

SUBTRACTIVE VARIETIES; IDEALS;

D O I：

10.1016/j.jpaa.2016.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we explore the snail lemma in a pointed regular category. In particular, we show that under the presence of cokernels of kernels, the validity of the snail lemma is equivalent to subtractivity of the category. As a corollary, this gives that in the more restrictive context of a normal category the validity of the snail lemma is equivalent to the validity of the snake lemma. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：135 / 143

页数：9

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