We analyze the corestriction corL/F(S) of a central simple algebraSoverLwith respect to a Dubrovin valuation ringA(resp.Bi) of corL/F(S) (resp.S) extendingVonF(resp.WionL) whereLis a finite separable extension ofFand theWiare the extensions ofVtoLfor 1 ≤i≤k. Under the suitable conditions, we show that for the value groupand for the center of residue ringwhereN(Z(Bi)/F) is the normal closure ofZ(Bi) overFandmiis an integer depending on which roots of unity lie inFandL.