中文摘要：

推广了Hopf代数的Ore扩张理论,构造出群余分次的乘子Hopf代数的Ore扩张,并给出其成为群余分次乘子Hopf代数的充要条件。作为应用,给出例子加以说明。

英文摘要：

The Ore extensions of G-cograded multiplier Hopf algebras are constructed,and some sufficient and necessary conditons for the Ore extensons to be G-cograded multiplier Hopf algebras are given. As an application,an example will be given at the end.