On Completions of Posets with Operators

Warning

This publication doesn't include Institute of Computer Science. It includes Faculty of Science. Official publication website can be found on muni.cz.

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