中文摘要：

证明了半群Cayley图的乘积图仍是半群Cayley图．由于（弱）点传递图的乘积图保持传递性，进一步得到结论：（弱）点传递的半群Cayley图的乘积图仍是半群Cayley图，并保持（弱）点传递性．

英文摘要：

The product graphs of Cayley graphs of semigroups are considered. The following results are obtained：if two Cayley graphs of semigroups are （weakly） vertex-transitive,then their product graphs are not only Cayley graphs of semigroups, but also （weakly） vertex-transitive.