平面二元树族上的H-Hopf模结构

The H-Hopf Module's Structures of Planar Binary Trees

通过平面二元树的定义及基本算法,定义了平面二元树的加法;在有限二元树的节序列上分别定义了H-Hopf模结构映射和H-Hopf余模结构映射及协调性,得到一个在二元树的节序列中的H-Hopf模结构;同时还定义了左积与右积,进而给出特殊的H-Hopf模,即树形H-Hopf模.

We define addition of the planar binary tree by its definition and its operation ;we de‐fine respectively H - Hop f module mapping and H - Hop f comodule mapping in the spine‐sequences of finite binary trees .We also define the left and the right product ,and then give a special H - Hop f module ,namely the dendriform H - Hop f module .