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Article: Data on mathematics discussed by researchers at Technical University.
- Article from:
- Journal of Mathematics
- Article date:
- November 3, 2009
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According to a study from Bucharest, Romania, "Let (K, nu) be a perfect rank one valued field and let ((K-nu) over bar,(nu) over bar) be the canonical valued field obtained from ( K, nu) by the unique extension of the valuation (nu) over tilde of K-nu, the completion of K relative to nu, to a fixed algebraic closure (K-nu) over bar of K-nu. Let (K) over bar be the algebraic closure of K in (K-nu) over bar."
"An algebraic extension L of K, L subset of (K) over bar, is said to be a nu-adic maximal extension, if (nu) over bar vertical bar(L) is the only extension of v to L and L is maximal with this property. In this paper we describe some basic properties of such ...