Definition:Euclidean Valuation/Historical Note

Historical Note on Euclidean Valuation

A Euclidean valuation is so named because it is central to the definition of a Euclidean domain.

In turn, a Euclidean domain is so named because, as an algebraic structure, it sustains the concept of the Euclidean Algorithm.

Euclid himself made no mention of the concept, which is an abstract algebraic concept defined in (mathematically speaking) modern times.