Abstract Algebra: Theory and Applications · Problem 18.4.14

Lattices and Boolean Algebras — Thomas Judson

Mathematics — Abstract Algebra · euclidean-valuation-units

Problem

Let DD be a Euclidean domain with Euclidean valuation ν\nu. If uu is a unit in DD, show that ν(u)=ν(1)\nu(u) = \nu(1).

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