Algebra and Logic

, Volume 41, Issue 6, pp 374-390

First online:

Multi-Valued Fields. II

  • Yu. L. ErshovAffiliated with

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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).

multi-valued field Boolean family of valuation rings absolute ramification index