Multiplicative Dedekind-Hasse norm

Definition
A multiplicative Dedekind-Hasse norm on a commutative unital ring is a function from the set of nonzero elements of the ring to the nonnegative integers satisfying the following two conditions:


 * It is a multiplicative norm: The norm of a nonzero product equals the product of the norms.
 * It is a Dedekind-Hasse norm.

Stronger properties

 * Weaker than::Multiplicative Euclidean norm