Hello.

I would use some help with following task:

Prove that when in ring R products xy and yx are invertible then elements x and y are also invertible.

Thanks in advance.

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- Mar 24th 2013, 05:11 AMrain1Need help with invertibility proof
Hello.

I would use some help with following task:

Prove that when in ring R products xy and yx are invertible then elements x and y are also invertible.

Thanks in advance. - Mar 24th 2013, 11:13 AMSironRe: Need help with invertibility proof
What does it mean by definition that is invertible?

If you have the definition then you can use the fact that the multiplication is an associative operation. - Mar 24th 2013, 11:15 AMrain1Re: Need help with invertibility proof
It means that there exists (xy)^-1 so that (xy)^-1 * xy = 1

- Mar 24th 2013, 11:29 AMSironRe: Need help with invertibility proof
- Mar 24th 2013, 11:35 AMrain1Re: Need help with invertibility proof
You mean like this? ? Thats all?

- Mar 24th 2013, 02:13 PMSironRe: Need help with invertibility proof