Countably QC-Approximating Posets
نویسندگان
چکیده
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 σc (L)(op) of all σ-Scott-closed subsets of L is weakly generalized countably approximating.
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ورودعنوان ژورنال:
دوره 2014 شماره
صفحات -
تاریخ انتشار 2014