Let A be a ring with property : for every $\displaystyle a \in A $ , exist $\displaystyle K \in N $ s.t $\displaystyle a^{2k}=a $ . Prove that : a) $\displaystyle |A|$ is a power of 2 b) $\displaystyle \sum_{\substack{ a \in A \\}} a =0$
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