Hi

Let be a ring, such that . Suppose that is finite.

Prove that

We can see that , so if , it's over.

Any idea? :)

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- November 16th 2008, 07:09 AMclic-clacinvertible?
Hi

Let be a ring, such that . Suppose that is finite.

Prove that

We can see that , so if , it's over.

Any idea? :) - November 16th 2008, 11:52 AMNonCommAlg
- November 16th 2008, 12:16 PMclic-clac
Thanks for your answer.

I don't see why there exists such that .

The conclusion is still the same with for a but there is something I'm missing... - November 16th 2008, 12:47 PMNonCommAlg
- November 16th 2008, 01:13 PMclic-clac
You're welcomed.

But for me the problem is that doing this, we assume that every element of is equal to a , .

Why can we say that? - November 16th 2008, 01:23 PMNonCommAlg
- November 16th 2008, 01:42 PMclic-clac
Great NonCommAlg, I finally got it! Thank you.