TY - JOUR
A2 - Zhan, Jianming
AU - Mao, Xuxin
AU - Xu, Luoshan
PY - 2014
DA - 2014/08/05
TI - Countably -Approximating Posets
SP - 123762
VL - 2014
AB - As a generalization of countably C-approximating posets, the concept of countably QC-approximating posets is introduced. With the countably QC-approximating property, some characterizations of generalized completely distributive lattices and generalized countably approximating posets are given. The main results are as follows: (1) a complete lattice is generalized completely distributive if and only if it is countably QC-approximating and weakly generalized countably approximating; (2) a poset L having countably directed joins is generalized countably approximating if and only if the lattice σcLop of all σ-Scott-closed subsets of L is weakly generalized countably approximating.
SN - 2356-6140
UR - https://doi.org/10.1155/2014/123762
DO - 10.1155/2014/123762
JF - The Scientific World Journal
PB - Hindawi Publishing Corporation
KW -
ER -