Every finite intiger Domain is field
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Step-by-step explanation:
Every finite integral domain is a field. The only thing we need to show is that a typical element a ≠ 0 has a multiplicative inverse. ... Since there are no zero-divisors we must have am ≠ 0 and hence 1 - an-m = 0 and so 1 = a(an-m-1) and we have found a multiplicative inverse for a.
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