Ya. A. Kopylov, “On the homology sequence in a <nobr>$P$</nobr>-semi-abelian category”, Sib. Èlektron. Mat. Izv., 2012, Volume 9,Pages <nobr>190

This article is cited in 2 papers

Geometry and topology

On the homology sequence in a $P$-semi-abelian category

Ya. A. Kopylov^ab

^a Sobolev Institute of Mathematics, Prospekt Akad. Koptyuga 4, 630090, Novosibirsk, Russia
^b Novosibirsk State University ul. Pirogova 2, 630090, Novosibirsk, Russia

Abstract: We obtain sufficient conditions for the existence and exactness of the long homology sequence in a category semi-abelian in the sense of Palamodov.

Keywords: strict morphism, semi-stable kernel, semi-stable cokernel, P-semi-abelian category, (co)homology.

UDC: 512.66, 517.982.2

MSC: 18E05, 46A08

Received October 6, 2011, published March 11, 2012

Language: English