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arXiv · 2405.17982

Homomorphisms between the semirings of Boolean functions on 1-dimensional tropical fans

Takaaki Ito
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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.

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Takaaki Ito. 2024-05-28. Homomorphisms between the semirings of Boolean functions on 1-dimensional tropical fans. https://arxiv.org/abs/2405.17982

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