António Malheiro
Associate Professor w/ habilitation, Mathematics Department
Faculdade de Ciências e Tecnologia UNL, Monte da Caparica, 2829-516 Caparica, Tel: (+351) 212948388 ext. 10832 (email)
Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids
- Citation:
- Cain, A. J., and A. Malheiro. "Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids." The Electronic Journal of Combinatorics. 25.3 (2018): P3.30 (19 pages).
Abstract:
This paper considers whether non-trivial identities are satisfied by certain ‘plactic-like’ monoids that, like the plactic monoid, are closely connected with combinatorics. New results show that the hypoplactic, sylvester, Baxter, stalactic, and taiga monoids satisfy identities. The existing state of knowledge is discussed for the plactic and Bell monoids.
