【摘要】 给出了Ｚ－连续偏序集上Ｚ－极小集的概念及其性质和等价刻划，利用Ｚ－极小集的方法阐述了映射的连续性及保Ｚ－Ｂｅｌｏｗ关系和保Ｚ－极小集之间的联系，并证明了完备格是Ｚ－连续格当且仅当每个元都存在Ｚ－极小集更多还原

【Abstract】 The notions of Z minimal subsets on Z continuous partial order sets are defined.The characteristics and properties of Z minimal subsets are investigated.Using the method of the Z minimal subsets,the author explained a few relationships among the continunity of the mapping,preserving the Z below relation and the Z minimal subsets.It is proved that the Z complete lattices are Z continuous if and only if their element exists a Z minimal subset.更多还原