A duality theorem for generalized Koszul algebras

We show that if Λ is a n-Koszul algebra and E=E(Λ) is its Yoneda algebra, then there is a full subcategory LE of the category GrE of graded E-modules, which contains all the graded E-modules presented in even degrees, that embeds fully faithfully in the category C(GrΛ) of cochain complexes of graded Λ-modules. That extends the known equivalence, for Λ Koszul (i.e. n=2), between GrE and the category of linear complexes of graded Λ-modules.