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arXiv · 2207.08710

A note on the transport of (near-)field structures

L. Boonzaaier·S. Marques
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Abstract

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.

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L. Boonzaaier, S. Marques. 2022-07-05. A note on the transport of (near-)field structures. https://arxiv.org/abs/2207.08710

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