On Completions of Posets with Operators
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Multiple-Valued Logic and Soft Computing |
| MU Faculty or unit | |
| Citation | |
| Web | https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-38-number-1-2-2022/mvlsc-38-1-2-p-227-243/ |
| Keywords | poset with an operator; order-embedding; lax morphism; completion; sup-algebra; injective object; injective hull |
| Description | 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. |
| Related projects: |