Let F be a field of characteristic 2 with more than two elements.Show that (x + y)3 ≠ x3 + y3 for some x and y in F.
Let F be a field of characteristic 2 with more than two elements.Show that (x + y)3 ≠ x3 + y3 for some x and y in F.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 8E: 8. Prove that the characteristic of a field is either 0 or a prime.
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Let F be a field of characteristic 2 with more than two elements.
Show that (x + y)3 ≠ x3 + y3 for some x and y in F.
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