Informace o publikaci
On Completions of Posets with Operators
| Autoři | |
|---|---|
| Rok publikování | 2022 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Journal of Multiple-Valued Logic and Soft Computing |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-38-number-1-2-2022/mvlsc-38-1-2-p-227-243/ |
| Klíčová slova | poset with an operator; order-embedding; lax morphism; completion; sup-algebra; injective object; injective hull |
| Popis | In this note, we study completions of posets with a closure operation. Firstly, we show that every such completion is injective in the category of posets with a closure operation with respect to a subclass of order embeddings. Moreover, we show how to construct injective hulls for arbitrary posets with a closure operation. |
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