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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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
Originally Posted by Haven 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 I understand everything you say but I can't see the ismorphism... :S
Try the homomorphism: and See if you can show it's bijective.
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