The following concepts are introduced: quotient, subalgebra and homomorphism of completely distributive lattices and meet continuous lattices.
介绍了完全分配格、交连续格的商集、子代数、同态的概念。
At the same time,a theorem is proved that a Z-meet continuous generalized Z-precontinuous poset is a Z-precontinuous poset on the supposition that Z is a subset system with the property of union of finite families.
证明了当Z是具有有限族并性质的Rudin子集系统时,Z-交连续的广义Z-拟连续偏序集是Z-拟连续偏序集。