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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Let If R is commumative then Also and and is bijective. This should be enough for you to see why that R' is communative
Originally Posted by bookie88 Assume that the ring R is isomorphic to the ring R'. Prove that if R is commutative, then r' is commutative. Let denote an isomorphism, and . Then there are with and . Furthermore, . So is commutative. EDIT: Looks like someone beat me to it. Oh well.
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