关于偏序集基数幂的半模性的若干反例

本文指出偏序集Ｘ，Ｙ的基数和Ｘ＋Ｙ与基数积ＸＹ的半模性等价于Ｘ与Ｙ的半模性，同时构造了若干例子，说明Ｘ。

The Semimodularity of Cardinal Power of Posets

Let X,Y be any posets,the semimodularity of cardinal power Yx with base Y and exponent X is studied. Some necessary or sufficient conditions for Yx to be semimodular are gaven,