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math.AG2024
A geometric interpretation of Krull dimensions of -algebras
JuAe Song, Yasuhito Nakajima
We investigate Krull dimensions of semirings and semifields dealt in tropical geometry. For a congruence on a tropical Laurent polynomial semiring $\boldsymbol{T}[X_1^{\pm}, \l…
math.AG2024
Finitely generated congruences on tropical rational function semifields
JuAe Song
We prove that the congruence on the tropical rational function semifield in -variables associated with a subset of is finitely generated if and only if th…