Abstract

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

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