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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2009 Volume 50, Number 1, Pages 107–117 (Mi smj1941)
This article is cited in 7 papers

The Ker-Coker-sequence and its generalization in some classes of additive categories

Ya. A. Kopylov, V. I. Kuz'minov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We study the validity of the Snake Lemma (the existence and exactness of the Ker-Coker-sequence) in a P-semi-abelian category. We also obtain a generalization of the Snake Lemma in a quasiabelian category.

Keywords: strict morphism, P-semi-abelian category, quasi-abelian category, Ker-Coker-sequence.

UDC: 512.66

Received: 11.03.2008


 English version: Siberian Mathematical Journal, 2009, 50:1, 86–95

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© Steklov Math. Inst. of RAS, 2025