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Answer to Question #16531 in Abstract Algebra for Hym@n B@ss

Question #16531
Show that the characteristic of a domain is either 0 or a prime number
Expert's answer
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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