Assume that the ring R is isomorphic to the ring R'. Prove that if R is commutative, then r' is commutative.

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- March 24th 2010, 09:13 AMbookie88Rings, ID, and Fields
Assume that the ring R is isomorphic to the ring R'. Prove that if R is commutative, then r' is commutative.

- March 24th 2010, 09:24 AMHaven
Let

If R is commumative then

Also and

and is bijective.

This should be enough for you to see why that R' is communative - March 24th 2010, 09:31 AMhatsoff