Introduces closure operator yielding cryptomorphic definition of valuated matroids and proves bijection with finitely generated geometric modules over tropical semifield.
Lorentzian polynomials and matroids over triangular hyperfields 1: T opological aspects
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Closure operators and geometric modules of valuated matroids
Introduces closure operator yielding cryptomorphic definition of valuated matroids and proves bijection with finitely generated geometric modules over tropical semifield.