Genady Posted Thursday at 12:43 PM Posted Thursday at 12:43 PM In a field K the equality a4=a is satisfied for all a. Find the characteristic of the field K. My calculations: 2a = (2a)4 = 16a4 = 16a 14a=0 This allows for the characteristic to be 2 or 7. But, e.g., 34 = 81 = 4 (mod 7) rather than 3. So, the only answer is 2. 1. Is this derivation correct? 2. The hint in the textbook says to show that 2a=0. How to do that?
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