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20132021
most citedA note on identities in plactic monoids and monoids of upper-triangular tropical matrices

8 citations · 11 across the 7 of their papers we have counts for

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math.RA2021

Representations and identities of plactic-like monoids

Alan J. Cain, Marianne Johnson, Mark Kambites +1

We exhibit faithful representations of the hypoplactic, stalactic, taiga, sylvester, Baxter and right patience sorting monoids of each finite rank as monoids of upper triangular ma…

math.RA2021

Identities and bases in the sylvester and Baxter monoids

Alan J. Cain, António Malheiro, Duarte Ribeiro

This paper presents new results on the identities satisfied by the sylvester and Baxter monoids. We show how to embed these monoids, of any rank strictly greater than 2, into a dir…