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@article{1824977, author = {Zhang, Xia and Paseka, Jan and Ma, Wen}, article_number = {1-2}, keywords = {poset with an operator; order-embedding; lax morphism; completion; sup-algebra; injective object; injective hull}, language = {eng}, issn = {1542-3980}, journal = {Journal of Multiple-Valued Logic and Soft Computing}, title = {On Completions of Posets with Operators}, url = {https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-38-number-1-2-2022/mvlsc-38-1-2-p-227-243/}, volume = {38}, year = {2022} }
TY - JOUR ID - 1824977 AU - Zhang, Xia - Paseka, Jan - Ma, Wen PY - 2022 TI - On Completions of Posets with Operators JF - Journal of Multiple-Valued Logic and Soft Computing VL - 38 IS - 1-2 SP - 227-243 EP - 227-243 PB - Old City Publishing SN - 15423980 KW - poset with an operator KW - order-embedding KW - lax morphism KW - completion KW - sup-algebra KW - injective object KW - injective hull UR - https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-38-number-1-2-2022/mvlsc-38-1-2-p-227-243/ N2 - 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. ER -
ZHANG, Xia, Jan PASEKA and Wen MA. On Completions of Posets with Operators. \textit{Journal of Multiple-Valued Logic and Soft Computing}. Old City Publishing, 2022, vol.~38, 1-2, p.~227-243. ISSN~1542-3980.
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