Identities of the plactic monoid.

DOI10.1007/s00233-014-9609-9zbMath1332.20055OpenAlexW2047740361WikidataQ59406536 ScholiaQ59406536MaRDI QIDQ2346780

Łukasz Kubat, Okniński, Jan

Publication date: 4 June 2015

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-014-9609-9

zbMATH Keywords

identitiessemigroup algebrasplactic monoidsbicyclic monoidssimple monoids

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (12)

Crystal monoids \& crystal bases: rewriting systems and biautomatic structures for plactic monoids of types \(A_{n}\), \(B_{n}\), \(C_{n}\), \(D_{n}\), and \(G_{2}\) ⋮ Representations and identities of plactic-like monoids ⋮ Irreducible representations of the plactic algebra of rank four ⋮ Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids ⋮ Tropical representations and identities of the stylic monoid ⋮ Remark on the identities of the grammic monoid with three generators ⋮ Identities and bases in the Sylvester and Baxter monoids ⋮ Tropical plactic algebra, the cloaktic monoid, and semigroup representations ⋮ The monoids of the patience sorting algorithm ⋮ Crystallizing the hypoplactic monoid: from quasi-Kashiwara operators to the Robinson-Schensted-Knuth-type correspondence for quasi-ribbon tableaux ⋮ Tropical representations and identities of plactic monoids ⋮ Identities and bases in the hypoplactic monoid

Cites Work

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• Exercises in classical ring theory.
• Plactic algebras.
• Structure of Chinese algebras.
• Gröbner-Shirshov Bases for Plactic Algebras
• Polyhedral convex cones and the equational theory of the bicyclic semigroup
• THE CHINESE MONOID

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