A note on the transport of (near-)field structures
Rings and Algebras
2025-01-17 v3 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.2207.08710,
title = {A note on the transport of (near-)field structures},
author = {L. Boonzaaier and S. Marques},
journal= {arXiv preprint arXiv:2207.08710},
year = {2025}
}