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It is known that the notion of graded differential algebra coincides with thenotion of monoid in the monoidal category of complexes. By using the monoidalstructure introduced by M. Kapranov for the category of $N$-complexes we definethe corresponding generalization of graded differential algebras as the monoidsof this category. It turns out that this generalization coincides with thenotion of graded $q$-differential algebra which has been previously introducedand studied.

Tensor product of N-complexes and generalization of graded differential algebras