Multi-Valued Fields. II

The main model-theoretic results on multi-valued fields with near Boolean families of valuation rings obtained in authoor's book “Multi-Valued Fields” [in Russian], Nauch. Kniga, Novosibirsk (2000) (Ch.4, Sec.  4.6) are generalized along two lines: we weaken the restriction on being absolutely unramified to a condition of being finite for an absolute ramification index, and we combine, through context, Theorems 4.6.2 and 4.6.4 (4.6.3 and 4.6.5).