Automorphism-invariant Euclidean norm

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

Definition

A Euclidean norm on an integral domain is termed characteristic if any automorphism of the integral domain keeps the Euclidean norm invariant, viz it takes each element to an element of the same Euclidean norm.

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