Mao, Xuxin and Xu, Luoshan (2014) Properties and Characterizations of Countably C-approximating Posets. British Journal of Mathematics & Computer Science, 5 (6). pp. 719-727. ISSN 22310851
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Official URL: https://doi.org/10.9734/BJMCS/2015/14394
Abstract
In this paper, the concept of countably C-approximating posets is introduced. Properties and characterizations of countably C-approximating posets are presented. Main results are: (1) the lattice of all σ-Scott-closed subsets for any poset is countably C-approximating; (2) a complete lattice is completely distributive iff it is countably approximating and countably C-approximating.
| Item Type: | Article |
|---|---|
| Subjects: | STM Digital Library > Mathematical Science |
| Depositing User: | Unnamed user with email support@stmdigitallib.com |
| Date Deposited: | 06 Jul 2023 04:14 |
| Last Modified: | 07 Sep 2024 10:09 |
| URI: | http://archive.scholarstm.com/id/eprint/1393 |
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