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arXiv math/05115382005-11-22math.RA

域的逆闭加法子群

Inverse-closed additive subgroups of fields

Sandro Mattarei

备注：: 4 pages
发表信息：: Israel J. Math. 159 (2007), 343--348

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摘要：

我们描述了关于取逆闭域的加法子群。特别是，在特性不同于两个任何这样的子群是要么一个子域或核心的迹映射的二次subextension的领域。

英文摘要：

We describe the additive subgroups of fields which are closed with respect to taking inverses. In particular, in characteristic different from two any such subgroup is either a subfield or the kernel of the trace map of a quadratic subextension of the field.

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