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Separably closed valued fields: Immediate expansions

机译:封闭式价值字段:立即扩展

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摘要

It is shown in this paper that every separably closed field with a non-trivial valuation, treated as a first-order structure in the language of valued fields, is an immediate expansion of the underlying first-order field structure; that is to say that there is no proper intermediate first-order structure between these two structures.
机译:本文表明,每个具有非平凡估值的可分离封闭域,在有价域的语言中都被视为一阶结构,是基础一阶域结构的立即扩展。也就是说,这两个结构之间没有适当的中间一阶结构。

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