Let w € C be a primitive third root of unity. a. Show that Z[w] = {a+bw | a, b Z} is a subring of C. b. Show Z[w] is a Euclidean domain with size function z→ zz.
Let w € C be a primitive third root of unity. a. Show that Z[w] = {a+bw | a, b Z} is a subring of C. b. Show Z[w] is a Euclidean domain with size function z→ zz.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 67E
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