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1. Prove that c and d are associates in R if and only if cd and dc. 2. (a) Show that Z is a Euclidean domain with the function given by (n)=n2. (b) Is Q is a Euclidean domain when is defined by (r)=r2 ?.

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1. Prove that c and d are associates in R if and only if cd and dc. 2. (a) Show that Z is a Euclidean domain with the function given by (n)=n2. (b) Is Q is a Euclidean domain when is defined by (r)=r2 ?

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