中文摘要：

三元辫子外代数的极小投射双模分解被构造,各阶Hochschild同调群的维数被清晰地计算,并且当基础域的特征为零时,各阶循环同调群的维数也被给出.

英文摘要：

The minimal projective bimodule resolution of braided exterior algebra with three variables is constructed, and the dimension of all Hochschild homology groups are calculated explicitly. Moreover, the dimension of all cyclic homology groups are shown whenever the character of the base field is zero.