论文标题
关于(近)田间结构的运输的注释
A note on the transport of (near-)field structures
论文作者
论文摘要
本文解决了一个问题:给定标量组,我们可以确定将此标量组转化为(近)字段的所有添加方法吗?解决此问题的关键方法涉及通过乘法自动形态运输(近)场结构。我们计算真实和复杂场的连续乘法自动形态,并分析其结构。此外,我们表征了定义这些添加的标量组上的内部受试者。
This paper addresses the question: given a scalar group, can we determine all the additions that transform this scalar group into a (near-)field? A key approach to addressing this problem involves transporting (near-)field structures via multiplicative automorphisms. We compute the set of continuous multiplicative automorphisms of the real and complex fields and analyze their structures. Additionally, we characterize the endo-bijections on the scalar group that define these additions.