Abstract：It is shown that if A_w is a intermediate subset to A_v,then (ω,Λ)≥(v,Γ).The Boolean V-monoids is studied,and a result is obtained as follows:Let (v,Γ) be a V-valuation of ring R.If is Boolean,then (v,Γ) is formally infinite.It is shown that if (B,M
2005, Vol. 29 