DOAJ Open Access 2020

On (non-) freeness of some tridendriform algebras

Vincent Vong

Abstrak

We present some results on the freeness or non freeness of some tridendriform algebras. In particular, we give a combinatorial proof of the freeness of WQSym, an algebra based on packed words, result already known with an algebraic proof. Then, we prove the non-freeness of an another tridendriform algebra, PQSym, a conjecture remained open. The method of these proofs is generalizable, in particular it has been used to prove the freeness of the dendriform algebra FQSym and the quadrialgebra of 2-permutations.

Topik & Kata Kunci

Penulis (1)

V

Vincent Vong

Format Sitasi

Vong, V. (2020). On (non-) freeness of some tridendriform algebras. https://doi.org/10.46298/dmtcs.6350

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6350
Informasi Jurnal
Tahun Terbit
2020
Sumber Database
DOAJ
DOI
10.46298/dmtcs.6350
Akses
Open Access ✓