摘要
给出完备集环的次直积表示定理，并由此证得如下结果：诱导空间(LX,T )是完全正则的当且仅当它的底空间(X,［T ］)是完全正则空间.
In this article,we prove the subdirect product representation theorem of complete rings of sets and the following result:An induced space (LX,T ) is completely regular its underlying space (X,［T ］) is comletely regular.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2001年第1期6-9,16,共5页
Journal of Inner Mongolia Normal University(Natural Science Edition)
关键词
完备集环
相对原子
次直积
格值诱导空间
完全正则空间
底空间
完备格
complete rings of sets
relatively atomic lattices
subdirect product
lattice valued induced spaces
complete regularity
