Tropical linear representations of the Chinese monoid

2020/01/16 by Zur Izhakian, Izhakian, Zur, Glenn Merlet +1
Computer Science · Mathematics · #20M05 #20M07 #20M30 #47D03 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2001.05888

openalex publication_date 2020/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a faithful tropical linear representation of the Chinese monoid, and thus prove that this monoid admits all the semigroup identities satisfied by tropical triangular matrices.

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