On residual transcendental extensions of a valuation with rankv = 2

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Date

2011

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info:eu-repo/semantics/openAccess

Abstract

Abstract. Let v = v1 ◦ v2 be a valuation of a field K with rankv = 2. In this paper a residual transcendental extension w = w1 ◦ w2 of v to K(x) is studied where w1 and w2 are the residual extensions of v1 and v2 respectively. A characterization of lifting polynomials is given and the constants w(K,v)(c), Δ(K,v)(c), δ(K,v)(c) are defined for c, where (c, δ) ∈ K ×Gv is the minimal pair defining w.

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Türkiye Klinikleri Psikiyatri Dergisi

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Volume

12

Issue

2

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