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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 94, Pages 131–141 (Mi znsl1813)  
This article is cited in 6 scientific papers (total in 6 papers)

Homological algebra in pre-Abelian categories

A. V. Yakovlev
Full-text PDF (950 kB) Citations (6)
Abstract: We construct derived functors in additive categories in which each morphism has a kernel, co-kernel, image, and coimage, but the image and coimage are not necessarily isomorphic. We prove that these derived functors possess the usual properties. The main difficulty is that the $3\times3$-lemma does not necessarily hold in the categories under consideration.
English version:
Journal of Soviet Mathematics, 1982, Volume 19, Issue 1, Pages 1060–1067
DOI: https://doi.org/10.1007/BF01476122
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: A. V. Yakovlev, “Homological algebra in pre-Abelian categories”, Rings and modules. Part 2, Zap. Nauchn. Sem. LOMI, 94, "Nauka", Leningrad. Otdel., Leningrad, 1979, 131–141; J. Soviet Math., 19:1 (1982), 1060–1067
Citation in format AMSBIB
\Bibitem{Yak79}
\by A.~V.~Yakovlev
\paper Homological algebra in pre-Abelian categories
\inbook Rings and modules. Part~2
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 94
\pages 131--141
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1813}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=571524}
\zmath{https://zbmath.org/?q=an:0485.18011|0444.18012}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 19
\issue 1
\pages 1060--1067
\crossref{https://doi.org/10.1007/BF01476122}
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  • https://www.mathnet.ru/eng/znsl/v94/p131
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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