Plactic monoids satisfy nontrivial identities
Jan Okni\'nski
TL;DR
This paper proves that plactic monoids, algebraic structures related to Young tableaux, satisfy certain nontrivial identities, revealing new algebraic properties.
Contribution
It demonstrates for the first time that plactic monoids satisfy nontrivial identities, advancing understanding of their algebraic structure.
Findings
Plactic monoids satisfy nontrivial identities
New algebraic properties of plactic monoids are established
Results impact combinatorial and algebraic theory
Abstract
It is shown that plactic monoids satisfy nontrivial identities.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Algebra and Logic · Homotopy and Cohomology in Algebraic Topology