On Oct 29, 2006, at 12:08 AM, David Joyner wrote:

>>> 2. Let F1 subset F2 be two finite fields of order q,
>>> x1 in F1, x2 in F2. Consider the sum x2+x1+x2. The sum
>>> x2+(x1+x2) makes sense but the sum (x2+x1)+x2
>>> does not (assuming that there is no coercion F2->F1).
>>>
>>
>> I'm not sure what you mean by "F1 subset F2 be two finite fields of
>> order q".
>>
>
> Sorry, that was a copy+paste error: "order q" should be "order q, q^r
> (reps.)"


I think they both make sense.

For (x1+x2), it would coerce x1 into F2 and add in F2. Then for x2+(x1 
+x2) it would add in F2.

For (x2+x1) it would coerce x1 into F2 and add in F2. Then for (x2+x1) 
+x2) it would add in F2.

I don't see what the difference is.

David


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