论文标题
热带单相关
Tropical one-relation monoids
论文作者
论文摘要
2010年,Izhakian&Margolis证明了Biciclic Monoid承认代表是上三角热带矩阵的半群。我们通过对承认此类表示形式的所有单相关MONOID进行分类来扩展此结果。除两个例外,我们还对所有单相关的单粒子进行了分类,这些单相关允许表示为热带矩阵的半群。
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.