Semigroups: Conjugacy, Computation, Crystals and Combinatorics

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Lattices of varieties of plactic-like monoids

Publication . Aird, Thomas; Ribeiro, Duarte; CMA - Centro de Matemática e Aplicações; Springer

We study the equational theories and bases of meets and joins of several varieties of plactic-like monoids. Using those results, we construct sublattices of the lattice of varieties of monoids, generated by said varieties. We calculate the axiomatic ranks of their elements, obtain plactic-like congruences whose corresponding factor monoids generate varieties in the lattice, and determine which varieties are joins of the variety of commutative monoids and a finitely generated variety. We also show that the hyposylvester and metasylvester monoids generate the same variety as the sylvester monoid.

2024-08Artigo científico

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Fundação para a Ciência e a Tecnologia

Programa de financiamento

Concurso para Financiamento de Projetos de Investigação Científica e Desenvolvimento Tecnológico em Todos os Domínios Científicos - 2017

Número da atribuição

PTDC/MAT-PUR/31174/2017