Problem 3. Consider the ring Z3[i] = {a + bi | a,b € Z3} with operations similar to the ring of Gaussian integers except the coefficients are in Z3. List all elements in this ring and show by direct computation that this is a field.
Problem 3. Consider the ring Z3[i] = {a + bi | a,b € Z3} with operations similar to the ring of Gaussian integers except the coefficients are in Z3. List all elements in this ring and show by direct computation that this is a field.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 36E
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