On the Residual Algebraic Free Extension of a Valuation on $K$ to $K(x)$


Figen Öke




In this study the residual algebraic free extension of a valuation on a field $K$ to $K(x)$ is studied. It is assumed that $v$ is a valuation on $K$ with $rankv=2$ and the residual algebraic free extension $w$ of $v$ to $K(x)$ with $rankw=3$ is defined for a special case.