Abstract
Previously, we defined a class of fields with Boolean families of valuation rings that are regularly closed with respect to a given family. In the present article, we study and describe those fields from this class whose local elementary properties are continuous. Such fields prove to possess “good” model-theoretic properties.
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References
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Additional information
Translated fromAlgebra i Logika, Vol. 33, No. 6, pp. 628–653, November–December, 1994.
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Ershov, Y.L. Fields with continuous local elementary properties. I. Algebr Logic 33, 351–365 (1995). https://doi.org/10.1007/BF00756349
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DOI: https://doi.org/10.1007/BF00756349