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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 513, Pages 22–29 (Mi znsl7227)  
On an injective structure in a homotopy category

A. I. Generalov, N. S. Zhamkov

St. Petersburg State University, Mathematics and Mechanics Faculty
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Abstract: Relative injective objects in some variant of a homotopy category are studied. For this, the relative homological algebra in preabelian categories is used.
Key words and phrases: preabelian category, proper class of kernels, homotopy category, injective structure.
Funding agency Grant number
Russian Science Foundation 22-11-00081
Received: 08.08.2022
English version:
Journal of Mathematical Sciences (New York), 2025, Volume 288, Issue 3, Pages 277–283
DOI: https://doi.org/10.1007/s10958-025-07697-1
Document Type: Article
UDC: 512.5
Language: Russian
Citation: A. I. Generalov, N. S. Zhamkov, “On an injective structure in a homotopy category”, Problems in the theory of representations of algebras and groups. Part 38, Zap. Nauchn. Sem. POMI, 513, POMI, St. Petersburg, 2022, 22–29; J. Math. Sci. (N. Y.), 288:3 (2025), 277–283
Citation in format AMSBIB
\Bibitem{GenZha22}
\by A.~I.~Generalov, N.~S.~Zhamkov
\paper On an injective structure in a homotopy category
\inbook Problems in the theory of representations of algebras and groups. Part~38
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 513
\pages 22--29
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7227}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2025
\vol 288
\issue 3
\pages 277--283
\crossref{https://doi.org/10.1007/s10958-025-07697-1}
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