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arXiv 1602.01142math.LO
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实域的复子群展开

On expansions of the real field by complex subgroups

Erin Caulfield

摘要:

本文构造了一类复数的有限秩乘法子群,使得实域的展开是模型理论上良好的。作为一个应用程序,我们表明,分类的实域的扩张的循环乘法子群的复数由于Hierarchi甚至不扩展到扩张的子群与两个发电机。

英文摘要:

We construct a class of finite rank multiplicative subgroups of the complex numbers such that the expansion of the real field by such a group is model-theoretically well-behaved. As an application we show that a classification of expansions of the real field by cyclic multiplicative subgroups of the complex numbers due to Hieronymi does not even extend to expansions by subgroups with two generators.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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