Homomorphisms between the semirings of Boolean functions on 1-dimensional tropical fans
Algebraic Geometry
2024-08-23 v3
Abstract
In a previous work, we stated the conjecture that any semiring homomorphism between the Boolean function semirings on 1-dimensional tropical fans has the property called geometric. In this paper, we show that the conjecture is true. As an application, we establish a way to find all the morphisms between given 1-dimensional tropical fans.
Cite
@article{arxiv.2405.17982,
title = {Homomorphisms between the semirings of Boolean functions on 1-dimensional tropical fans},
author = {Takaaki Ito},
journal= {arXiv preprint arXiv:2405.17982},
year = {2024}
}
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19 pages, 0 figures