Algebraic Mayer–Vietoris theorem over preabelian categories
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 35, Tome 492 (2020), pp. 61-68
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The famous “algebraic Mayer–Vietoris theorem” is usually stated for complexes over an abelian category. In the present paper this theorem is generalized for complexes over a preabelian category. We use the technique and results from the relative homological algebra that is developed in the paper (A. I. Generalov, Algebra i analyz 4, No. 3 (1992)).
[1] P. Selick, Introduction to homotopy theory, Fields Inst. Monographs, 9, AMS, 1997 | MR | Zbl
[2] A. I. Generalov, “Otnositelnaya gomologicheskaya algebra v predabelevykh kategoriyakh, I. Proizvodnye kategorii”, Algebra i analiz, 4:1 (1992), 98–119 | Zbl
[3] A. I. Generalov, “Proizvodnye kategorii additivnoi kategorii”, Algebra i analiz, 4:5 (1992), 91–103 | MR
[4] A. I. Generalov, “Ker-Coker-posledovatelnost dlya predabelevykh kategorii”, Abelevy gruppy i moduli, 11–12, Tomsk, 1994, 78–89 | MR | Zbl