English

Compatible associative products and trees

Rings and Algebras 2010-04-08 v2 Combinatorics

Abstract

We compute dimensions of graded components for free algebras with two compatible associative products, and give a combinatorial interpretation of these algebras in terms of planar rooted trees.

Keywords

Cite

@article{arxiv.0809.1773,
  title  = {Compatible associative products and trees},
  author = {Vladimir Dotsenko},
  journal= {arXiv preprint arXiv:0809.1773},
  year   = {2010}
}

Comments

19 pages, added a note on relation to other operads

R2 v1 2026-06-21T11:18:47.982Z