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Sib. Èlektron. Mat. Izv., 2012, Volume 9, Pages 190–200 (Mi semr348)  

Geometry and topology

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

Ya. A. Kopylovab

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.

Full text: PDF file (536 kB)
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Document Type: Article
UDC: 512.66, 517.982.2
MSC: 18E05, 46A08
Received October 6, 2011, published March 11, 2012
Language: English

Citation: Ya. A. Kopylov, “On the homology sequence in a $P$-semi-abelian category”, Sib. Èlektron. Mat. Izv., 9 (2012), 190–200

Citation in format AMSBIB
\Bibitem{Kop12}
\by Ya.~A.~Kopylov
\paper On the homology sequence in a $P$-semi-abelian category
\jour Sib. \`Elektron. Mat. Izv.
\yr 2012
\vol 9
\pages 190--200
\mathnet{http://mi.mathnet.ru/semr348}


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