Geodesic
On an injective structure in a homotopy category
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 22-29

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Relative injective objects in some variant of a homotopy category are studied. For this, the relative homological algebra in preabelian categories is used. 
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     author = {A. I. Generalov and N. S. Zhamkov},
     title = {On an injective structure in a homotopy category},
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A. I. Generalov; N. S. Zhamkov. On an injective structure in a homotopy category. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 22-29. http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a2/