# Tables for a field

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• Nov 11th 2006, 01:57 PM
BenWong
Tables for a field
How would you write the addition and multiplication table for a field with 9 elements?
• Nov 11th 2006, 02:02 PM
ThePerfectHacker
Quote:

Originally Posted by BenWong
How would you write the addition and multiplication table for a field with 9 elements?

Well, it is finite and of power of prime order, $9=3^2$ thus only one such fields exists up to isomorphism.

That isomorphism is with $\mathbb{Z}_{9}$, the integers additive and multication modulo 9.