Abstract
The main model-theoretic results on multi-valued fields with near Boolean families of valuation rings obtained in [1, 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).
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