可数半连续格的序同态

Homomorphisms of countable semicontinuous lattices

引入半素可数极小集的概念,并研究它的若干性质及内部刻画.此外,借助半素可数极小集给出可数半连续格序同态的一个内部刻画,推广了相关文献的结果.

The concept of semiprime countable minimal set is introduced and examined. And then its some intrinsic characterizations are given. In addition, an intrinsic characterization of homomorphisms of the countable semicontinuous lattices is obtained by semiprime countable minimal sets. These theorems generalize corresponding results in reference.