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 
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/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Relative injective objects in some variant of a homotopy category are studied. For this, the relative homological algebra in preabelian categories is used.

[1] E. Backelin, O. Jaramillo, “Auslander–Reiten sequences and $t$-structures on the homotopy category of an abelian category”, J. Algebra, 339:1 (2011), 80–96 | DOI | MR

[2] A. I. Generalov, “O neobychnoi gomotopicheskoi kategorii”, Zap. nauchn. semin. POMI, 455, 2017, 33–41

[3] A. I. Generalov, “Otnositelnaya gomologicheskaya algebra v predabelevykh kategoriyakh, I. Proizvodnye kategorii”, Algebra i analiz, 4:3 (1992), 98–119

[4] J. M. Maranda, “Injective structures”, Trans. Amer. Math. Soc., 110 (1964), 98–135 | DOI | MR

[5] S. Maklein, Gomologiya, M., 1966

[6] D. Quillen, “Higher algebraic K-theory, I”, Lect. Notes Math., 341, 1973, 85–147 | DOI | MR