Various concepts associated with quadratic algebras admit natural
generalizations when the quadratic algebras are replaced by graded algebras
which are finitely generated in degree 1 with homogeneous relations of degree
N. Such algebras are referred to as {\sl homogeneous algebras of degree N}. In
particular it is shown that the Koszul complexes of quadratic algebras
generalize as N-complexes for homogeneous algebras of degree N.Comment: 24 page