Let D be a division ring with centre K and dim, D< ? a valuation on K and v a
noninvariant extension of ? to D. We define the initial ramfication index of v over
?, ?(v/ ?) .Let A be a valuation ring of o with maximal ideal m, and v , v ,…, v noninvariant extensions of w to D with valuation rings A , A ,…, A .
If B= A , it is shown that the following conditions are equivalent: (i) B i...