Generalization of the Artin-Hasse logarithm for the Milnor K-groups of δ-rings

Let R be a p-adically complete ring equipped with a delta-structure. We construct a functorial group homomorphism from the Milnor K-group K-n(M)(R) to the quotient of the p-adic completion of the module of differential forms (Omega) over cap (n-1)(R)/d (Omega) over cap (n-2)(R). This homomorphism is a p-adic analogue of the Bloch map defined for the relative Milnor K-groups of nilpotent extensions of rings of nilpotency degree N for which the number N! is invertible.