GrbnerShirshov bases for the non-symmetric operads of dendriform algebras and quadri-algebras ?
In this paper we use the operadic framework to find GrbnerShirshov bases for the free quadri-algebra. We perform computations using the representation of the non-symmetric operad by planar rooted trees in a very intuitive way. GrbnerShirshov bases for the free dendriform algebra are also found with this technique, simplifying the work by Chen and Wang (2010).
grbnershirshov bases non-symmetric operads dendriform algebras quadri-algebras