Nonnegative norm

Definition
A norm on a commutative unital ring $$R$$ (i.e., a function from the nonzero elements of $$R$$ to the integers) is termed nonnegative if it takes nonnegative values on all nonzero elements of the ring.

Stronger properties

 * Weaker than::Positive norm
 * Weaker than::Euclidean norm
 * Weaker than::Dedekind-Hasse norm