Multiplicative Dedekind-Hasse norm
This article defines a property of a norm on a commutative unital ring obtained as the conjunction of two properties: multiplicative norm and Dedekind-Hasse norm.
View a complete list of such conjunctions | View a complete list of properties of norms in commutative unital rings
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.