Show that the characteristic of a domain is either 0 or a prime number
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Expert's answer
2012-10-17T09:23:21-0400
Suppose the domain R has characteristic n<> 0. If n is not a prime, then n = n1n2 where 1 < ni < n. But then ni1 <> 0, and (n1*1)(n2*1) = n1 = 0 contradicts the fact that R is a domain
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