摘要
若 Z为并完备的子集系统 ,且 IZ( L)关于集合的包含关系构成完备格 ,则 :( 1 ) Z-连续格的函数空间仍为 Z-连续的 ;( 2 )对于 Z-连续格范畴 ZL ,定义了一函子 F:ZL× ZL→ ZL.
If Z is an union complete subset system and I Z(L) is a complete lattice, then (1)function spaces of Z continuous lattices are also Z continuous,(2)we introduce an important functor on the category ZL with Z continuous lattices as objects and Z homomorphisms as morphisms.
出处
《模糊系统与数学》
CSCD
2000年第4期31-35,共5页
Fuzzy Systems and Mathematics
关键词
Z-并完备子集系统
Z-连续格
Z-序同态
函数空间
Z union Complete Subset System
Z continuous Lattices
Z continuous Functions
Z homomorphisms
Function Spaces