On Completions of Posets with Operators

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Authors	ZHANG Xia PASEKA Jan MA Wen
Year of publication	2022
Type	Article in Periodical
Magazine / Source	Journal of Multiple-Valued Logic and Soft Computing
MU Faculty or unit	Faculty of Science
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:	Nové přístupy k agregačním operátorům v analýze a zpracování dat