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Tropical one-relation monoids
Published 26 Sep 2022 in math.RA and math.GR | (2209.12612v1)
Abstract: In 2010, Izhakian & Margolis proved that the bicyclic monoid admits a representation as a semigroup of upper triangular tropical matrices. We extend this result by classifying all one-relation monoids which admit such representations. We also classify, with two exceptions, all one-relation monoids which admit representations as semigroups of tropical matrices.
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