Problems of “pushdown” and “pullback” on a commutative ring

The aim of this paper is based on the conclusions concerning the problems of "pushdown" and "pullback" for an ordering of higher level on a field.We extend them by taking specialization of orderings and the quotient fields of domains on a commutative ring with unit.Moreover,it is shown that all orderings of level ncompatible with a given valuation pair on a commutative ring constitute a closed subset of Rn-SpecK for the C-Rtopology.