在具有多个排序和赋值的域中进行分叉和划分

IF 0.9 1区数学 Q1 LOGIC

Journal of Mathematical Logic Pub Date : 2020-01-08 DOI:10.1142/S0219061321500252

Will Johnson

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引用次数: 3

摘要

我们考虑具有若干排序、赋值和[公式:见文本]赋值的存在闭域。我们发现这些结构是有限负荷的NTP2，但通常具有独立性。而且，分叉与划分是一致的，分叉可以用ACVF、RCF和[公式:见文]CF中的分叉来表征。

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Forking and dividing in fields with several orderings and valuations

We consider existentially closed fields with several orderings, valuations, and [Formula: see text]-valuations. We show that these structures are NTP2 of finite burden, but usually have the independence property. Moreover, forking agrees with dividing, and forking can be characterized in terms of forking in ACVF, RCF, and [Formula: see text]CF.

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来源期刊

Journal of Mathematical Logic MATHEMATICS-LOGIC

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Logic (JML) provides an important forum for the communication of original contributions in all areas of mathematical logic and its applications. It aims at publishing papers at the highest level of mathematical creativity and sophistication. JML intends to represent the most important and innovative developments in the subject.