Plactic monoids satisfy nontrivial identities
Group Theory
2019-04-09 v3
Authors:
Jan Okniński
Abstract
It is shown that plactic monoids satisfy nontrivial identities.
Cite
@article{arxiv.1902.06251,
title = {Plactic monoids satisfy nontrivial identities},
author = {Jan Okniński},
journal= {arXiv preprint arXiv:1902.06251},
year = {2019}
}
Comments
The proof is not correct
Related papers
View all related →
Combinatorics · Mathematics
Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids
Alan J. Cain, António Malheiro
2018-07-31
Combinatorics · Mathematics
A note on identities in plactic monoids and monoids of upper-triangular tropical matrices
Alan J. Cain, Georg Klein, Łukasz Kubat, António Malheiro +1
2017-05-15
Group Theory · Mathematics
Semigroup identities and varieties of plactic monoids
Thomas Aird
2023-04-25
Rings and Algebras · Mathematics
Identities and bases in the hypoplactic monoid
Alan J. Cain, António Malheiro, Duarte Ribeiro
2021-07-14
Group Theory · Mathematics
Identities of the stylic monoid
Mikhail V. Volkov
2022-06-22
Group Theory · Mathematics
On the lattice of overcommutative varieties of monoids
S. V. Gusev
2024-11-26
Representation Theory · Mathematics
Finite convergent presentation of plactic monoid for type C
Nohra Hage
2016-02-02
Group Theory · Mathematics
Representations and identities of involution Plactic-like monoids arising from the meet of the stalactic congruence and its dual
Bin Bin Han, Wen Ting Zhang, Yan Feng Luo
2026-03-19
Group Theory · Mathematics
The identities of the free product of a pair of two-element monoids
Mikhail Volkov
2019-01-03
Group Theory · Mathematics
Principal ideals in a plactic monoid always intersect
Daniel Turaev
2025-01-10
General Mathematics · Mathematics
A congruence identity satisfied by m-permutable varieties
Paolo Lipparini
2007-05-23
Rings and Algebras · Mathematics
Polynomial identities in Novikov algebras
Vladimir Dotsenko, Nurlan Ismailov, Ualbai Umirbaev
2023-01-23
Rings and Algebras · Mathematics
Plactic-like monoids arising from meets and joins of stalactic and taiga congruences
Thomas Aird, Duarte Ribeiro
2023-09-20
Group Theory · Mathematics
Mixed identities for oligomorphic automorphism groups
Manuel Bodirsky, Jakob Schneider, Andreas Thom
2025-08-20
Logic · Mathematics
On the first order theory of plactic monoids
Daniel Turaev
2024-05-17
Combinatorics · Mathematics
Palindromicity of multivariate Eulerian polynomials
Alejandro González Nevado
2026-01-23
Rings and Algebras · Mathematics
Graded polynomial identities of the infinite-dimensional upper triangular matrices over an arbitrary field
Micael Said Garcia, Felipe Yukihide Yasumura
2024-02-19
Group Theory · Mathematics
Identities of the Kauffman Monoid $\mathcal{K}_3$
Yuzhu Chen, Xun Hu, N. V. Kitov, Yanfeng Luo +1
2020-01-07
Rings and Algebras · Mathematics
Growth and identities of monogenic free adequate monoids
Thomas Aird, Daniel Heath
2025-09-12
Group Theory · Mathematics
A simple non-bisimple congruence-free finitely presented monoid
Alan J. Cain, Victor Maltcev
2015-10-21
Rings and Algebras · Mathematics
Representations and identities of plactic-like monoids
Alan J. Cain, Marianne Johnson, Mark Kambites, António Malheiro
2021-07-12
Number Theory · Mathematics
Some identities involving Gegenbauer polynomials
Dae San Kim, Taekyun Kim, Seog-Hoon Rim
2012-08-01
Rings and Algebras · Mathematics
Identities and bases in the sylvester and Baxter monoids
Alan J. Cain, António Malheiro, Duarte Ribeiro
2021-06-03
Rings and Algebras · Mathematics
Lattices of varieties of plactic-like monoids
Thomas Aird, Duarte Ribeiro
2024-01-29
History and Overview · Mathematics
Explanation of a Polynomial Identity
Nicholas Phat Nguyen
2018-12-31