“…The theory of exact categories was developed by Bühler, Fu, Gillespie, Hovey, Keller, Krause, Neeman,Šťovíček and possibly others, see [4,8,10,13,14,15,16,20,21], and so on. In addition, Auslander and Solberg developed in [1,2] the theory of relative homological algebra with respect to a subfunctor F of Ext…”