6 citations · 11 across the 8 of their papers we have counts for
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math.RA2020★ 6 cited
Families of algebraic structures
Loic Foissy, Dominique Manchon, Yuanyuan Zhang
We give a general account of family algebras over a finitely presented linear operad, this operad together with its presentation naturally defining an algebraic structure on the se…
math.RA2020
Free pre-Lie family algebras
Dominique Manchon, Yuanyuan Zhang
In this paper, we first define the pre-Lie family algebra associated to a dendriform family algebra in the case of a commutative semigroup. Then we construct a pre-Lie family algeb…
math.RA2020★ 5 cited
Free Rota-Baxter family algebras and Free (tri)dendriform family algebras
Yuanyuan Zhang, Xing Gao, Dominique Manchon
In this paper, we first construct the free Rota-Baxter family algebra generated by some set in terms of typed angularly -decorated planar rooted trees. As an application, we…