2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66270It has been shown recently, in a joint work with Michel Dubois-Violette and Marc Wambst (see math.QA/0203035), that Koszul property of $N$-homogeneous algebras (as defined in the original paper) becomes natural in a $N$-complex setting. A basic question is to define the differential of the bimodule Koszul complex of an $N$-homogeneous algebra, e.g., for computing its Hochschild homology. The differential defined here uses $N$-complexes. That puts right the wrong differential presented in the original paper in a 2-complex setting. Actually, as we shall see, it is impossible to avoid $N$-complexes in defining the differential, whereas the bimodule Koszul complex is a 2-complex.Corrigendum to Koszulity for nonquadratic algebras. J. Algebra 239, No.2, 705-734 (2001); 2 pagesQuantum AlgebraK-Theory and HomologyRings and Algebras16S37text