中文摘要：

基于Furuya构造的一个Cluster-Tilted代数的极小投射双模分解,用组合的方法计算了Cluster-Tilted代数的Hochschild同调空间的维数与基.当基础域的特征为零时,也计算了代数的循环同调群的维数.

英文摘要：

In this paper, based on the minimal projective bimodule resolution of a cluster-tilted algebra constructed by gruya, we calculate the dimensions and bases of all the Hochschildhomology spaces of a cluster-tilted algebra by using combinatorial methods. When the char-acteristic of the ground field k is zero, we also compute the dimensions of cyclic homologygroups.