Geodesic
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)). 
@article{ZNSL_2020_492_a4,
     author = {A. I. Generalov},
     title = {Algebraic {Mayer--Vietoris} theorem over preabelian categories},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {61--68},
     publisher = {mathdoc},
     volume = {492},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_492_a4/}
}
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A. I. Generalov. 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. http://geodesic.mathdoc.fr/item/ZNSL_2020_492_a4/