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Date: 10-5-2020
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A -adic integer is a p-adic number of the form , where , are integers, and is prime. It is sufficient to take in the set .
Equivalently, a -adic integer is an element of the inverse limit of the rings for .
The same ring is obtained by taking the to be any rationals with denominator coprime to .
REFERENCES:
Cassels, J. W. S. Ch. 2 in Lectures on Elliptic Curves. New York: Cambridge University Press, 1991.
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