Abstract
We consider ordered universal algebras and give a construction of a join-completion for them using so-called \(\mathscr {D}\)-ideals. We show that this construction has a universal property that induces a reflector from a certain category of ordered algebras to the category of sup-algebras. Our results generalize several earlier known results about different ordered structures.
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Presented by M. Ploščica.
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Research of V. Laan was supported by the Estonian Research Council grant PRG1204. Research of X. Zhang was supported by the Guangdong Basic and Applied Basic Research Foundation, China, No. 2020A1515010206 and No. 2021A1515010248, the Science and Technology Program of Guangzhou, China, No. 202102080074.
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Laan, V., Feng, J. & Zhang, X. Admissible subsets and completions of ordered algebras. Algebra Univers. 84, 19 (2023). https://doi.org/10.1007/s00012-023-00813-9
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DOI: https://doi.org/10.1007/s00012-023-00813-9