摘要
本文揭示了逆序对合对应的一些构造性质,证明了集合幂集到自身的一个映射是逆序对合当且仅当它是取补运算与一个对合映射的复合,讨论了完备链上逆序对合对应的构造.
In this paper, some new structural properties of order inverse involution are revealed. The main result is that, F:(X)→(X) is an order inverse involution iff there exists an unique involution f: X→X, such as F(A)=f(X\A) for each A∈(X).
出处
《陕西师大学报（自然科学版）》
CSCD
1989年第2期1-4,共4页
Journal of Shaanxi Normal University(Natural Science Edition)
关键词
逆序对合对应
链
Galois联
order inversing involution
Complete lattice
Galois adjunction
