Let K. denote the graded Koszul complex associated to the regular sequence (x0, …, xn) in the graded polynomial ring A = k[x0, …, xn], [mid ]xi[mid ] = 1 for all i, over an arbitrary field k. Let K′. denote the Koszul complex associated to another regular sequence of homogeneous elements (p0, …, pn) in A. In [5] we have studied ranks of graded chain complex morphisms f.[ratio ]K′.→K′. with the property f0 = id. Let Ωk (respectively, Ω′k) denote the kernel of the Koszul differential d[ratio ]Kk→ Kk−1 (respectively, d′[ratio ] K′k→ K′k−1), and let fk[ratio ] Ω′k→Ωk denote the restriction of fk. The main result was that Rank (fk)>n−k.