Op + adic
http://www.adicvzw.be/ There are several equivalent definitions of p-adic numbers. The one that is given here is relatively elementary, since it does not involve any other mathematical concepts than those introduced in the preceding sections. Other equivalent definitions use completion of a discrete valuation ring (see § p-adic integers), completion of a metric space (see § Topological properties), or inverse limits (see § Modular properties).
Op + adic
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Web1 de jul. de 1986 · We shall use the following notation. Let Up be the p-adic completion of 0 for a prime p, a field of cardinality 2K Let Op be the algebraic closure of Up, and let 4.P be its p-adic completion, which is an algebraically closed complete field with a valuation uniquely extended from Up and is also of cardinality 2K Let DP = { z E CP : I z 11. WebAcademia.edu is a platform for academics to share research papers.
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