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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2005, Volume 2, Pages 68–78 (Mi semr17)  
Research papers

On reflective subcategories of quasiabelian categories

N. V. Glotko, V. I. Kuz'minov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: We discuss some category-theoretical and homological aspects of functional analysis. We consider a pair consisting of a quasiabelian category and its full reflective subcategory. We introduce notions of reduced and nonreduced cohomologies for complexes in reflective subcategory of quasiabelian category and develop a version of “relative homological algebra” for such subcategories.
Received May 17, 2005, published June 14, 2005
Bibliographic databases:
Document Type: Article
UDC: 512.66
MSC: 46M18
Language: Russian
Citation: N. V. Glotko, V. I. Kuz'minov, “On reflective subcategories of quasiabelian categories”, Sib. Èlektron. Mat. Izv., 2 (2005), 68–78
Citation in format AMSBIB
\Bibitem{GloKuz05}
\by N.~V.~Glotko, V.~I.~Kuz'minov
\paper On reflective subcategories of quasiabelian categories
\jour Sib. \`Elektron. Mat. Izv.
\yr 2005
\vol 2
\pages 68--78
\mathnet{http://mi.mathnet.ru/semr17}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2152925}
\zmath{https://zbmath.org/?q=an:1101.46325}
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