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.

Printable View

- March 24th 2013, 06:11 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. - March 24th 2013, 12:13 PMSironRe: 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. - March 24th 2013, 12:15 PMrain1Re: Need help with invertibility proof
It means that there exists (xy)^-1 so that (xy)^-1 * xy = 1

- March 24th 2013, 12:29 PMSironRe: Need help with invertibility proof
- March 24th 2013, 12:35 PMrain1Re: Need help with invertibility proof
You mean like this? ? Thats all?

- March 24th 2013, 03:13 PMSironRe: Need help with invertibility proof