Models for functor categories over self-injective quivers.

Let R be a ring, Q a small k -preadditive category, and let Q , R Mod be the category of k -linear functors from Q to the left R -module category R Mod. Given a cotorsion pair (, ℬ) in R Mod , we construct four cotorsion pairs (Γ () , Γ () ⊥) , (⊥ Γ (ℬ) , Γ (ℬ)) , (Θ () , Θ () ⊥) and (⊥ ξ (ℬ) , ξ (ℬ)) in Q , R Mod and investigate when these cotorsion pairs are hereditary and complete. Moreover, under few assumptions, we show that there exist a recollement of homotopy categories induced by these cotorsion pairs. Finally, some applications are given in the category of N -periodic chain complexes of R -modules. [ABSTRACT FROM AUTHOR]