Jump to content

Find the characteristic of the field

Genady
in Homework Help

Featured Replies

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?

Please sign in to comment

You will be able to leave a comment after signing in

Sign In Now
https://www.scienceforums.net/topic/135142-find-the-characteristic-of-the-field/
Go to topic listing

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.

Configure browser push notifications
Chrome (Android)
  1. Tap the lock icon next to the address bar.
  2. Tap Permissions → Notifications.
  3. Adjust your preference.
Chrome (Desktop)
  1. Click the padlock icon in the address bar.
  2. Select Site settings.
  3. Find Notifications and adjust your preference.