Hello!

I'd like to show that the ring is isomorphic to where S is the multiplicative system of powers of X.

Thanks for any comment!

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- Nov 17th 2013, 11:36 AMLolytaismomorphism between ... (conmutative algebra)
Hello!

I'd like to show that the ring is isomorphic to where S is the multiplicative system of powers of X.

Thanks for any comment! - Nov 24th 2013, 02:37 AMHavenRe: ismomorphism between ... (conmutative algebra)
By modding out by we are saying that in the new ring, or rather . Therefore Y is the inverse of X.

In , we are adding in to and all it's powers.

From here the isomorphism should be fairly clear - Nov 24th 2013, 07:35 AMLolytaRe: ismomorphism between ... (conmutative algebra)
- Nov 27th 2013, 05:58 PMHavenRe: ismomorphism between ... (conmutative algebra)
Try the homomorphism:

and

See if you can show it's bijective.