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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 a Wen MA. On Completions of Posets with Operators. \textit{Journal of Multiple-Valued Logic and Soft Computing}. Old City Publishing, 2022, roč.~38, 1-2, s.~227-243. ISSN~1542-3980.
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