Abstract
Abstract Let v be a valuation of a field K , G v its value group and k v its residue field. Let w be an extension of v to K ( x 1 , … , x n ). w is called a residual transcendental extension of v if k w / k v is a transcendental extension. In this study a residual transcendental extension w of v to K ( x 1 , … , x n ) such that transdegk w / k v = n is defined and some considerations related with this valuation are given.
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