分配格的新定理

New Theorem for the Distributive Lattices

摘要: 首先讨论了格的子集生成幻和生成对偶幻的运算性质。然后给出一个反例，指出中一定理有误，并由此获得分配格的两个等价条件。

Abstract: This paper discusses the operational properties of generated ideals and generated dual ideals. Then an example is given to point out that the conclusion of a proposition on P10 reference is wrong. Two equivalent conditions for the distributive lattices are given.