The concepts of atom and branch are introduced in the BCH algebra, a series of equivalence conditions about judging atom of the BCH algebra are given, It is proved that the set which all atoms of a BCH algebra are made up is a p semisimple BCI algebra.

• 在 BCH-代数中引入了原子与分支的概念 ；给出了一个元素为 BCH-代数原子的一系列等价条件 ；证明了一个 BCH-代数的所有原子做成的集合是一个 p-半单 BCI-代数 .