集合极大理想的分解

Decomposition of Set Maximal Ideal

在偏序集上引入并考察集合极大理想的概念,证明其相应的存在性定理以及集合极大理想在不同条件下的等价形式.推出偏序集上集合极大理想的分解定理,得到De Morgan定律在集合极大理想上的应用.

This study introduced the concept of set maximal ideal on a partially ordered set, and proved its existence theorem and equivalent form under different conditions. The decomposition theorem of the set maximal ideal was derived, the application of De Morgan law in set maximal ideal was obtained.