Associativity of hypermultiplication in ring-like structures consisting of polynomials over hyperfields
Ziqi Liu · arXiv (Cornell University) · 2019
In this paper, the author introduces a hyperstructure Poly$(\mathbb{F})$ formed by polynomials over given hyperfield $\mathbb{F}$. Then he gives some examples of non-associative hypermultiplications and proves the associativity of the hypermultiplication in Poly$(\mathbb{T})$ based on the results in Baker and Lorscheid's joint work [BL18].