K-THEORY OF n-COHERENT RINGS

Let R be a strong n-coherent ring such that each finitely n-presented R-module has finite projective dimension. We consider FPn(R) the full subcategory of R-Mod of finitely n-presented modules. We prove that FPn(R) is an exact category, Ki(R) = Ki(FPn(R)) for every i ≥ 0 and we obtain an expression of Nili(R).