The snail lemma in a pointed regular category

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• 作者：Zurab Janelidze^a ; ¹ ; ^{zurab@sun.ac.za" class="auth_mail" title="E-mail the corresponding author} ; Enrico M. Vitale^b ; ^{enrico.vitale@uclouvain.be" class="auth_mail" title="E-mail the corresponding author}
• 关键词：18G50 ; 18C99 ; 20J15 ; 08B05 ; 08C05
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：221
• 期：1
• 页码：135-143
• 全文大小：280 K

文摘

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.