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Changchun Xia, Bin Zhao (2018)
Sup-algebra completions and injective hulls of ordered algebrasAlgebra universalis, 79
(1998)
Tropological Systems and Observational Logic in Concurrency and Specification
(1974)
Each join-completion of a partially ordered set is the solution of a universal problem. Collection of articles dedicated to the memory of Hanna Neumann
J. Adámek, H. Herrlich, G. Strecker (1990)
Abstract and Concrete Categories - The Joy of Cats
(2023)
Admissible subsets and completions of ordered algebras Page 11 of
Xia Zhang, V. Laan (2015)
Quotients and subalgebras of sup-algebras
Hulls Semilattices, H. Lakser (1970)
Injective Hulls of SemilatticesCanadian Mathematical Bulletin, 13
Estonia e-mail: valdis.laan@ut.ee
H. Rasouli (2012)
Completion of S-posetsSemigroup Forum, 85
A. Bishop (1976)
A Universal Mapping Property for a Lattice Completionalgebra universalis, 6
Xia Zhang, V. Laan, Jianjun Feng, Ülo Reimaa (2021)
Correction to: Injective hulls for ordered algebrasAlgebra universalis, 82
E. Riehl, Dominic Verity (2018)
∞-Categories for the Working Mathematician
Jianjun Feng and Xia Zhang School of Mathematical Sciences South China Normal University Guangzhou 510631 China e-mail
Bernhard Banaschewski (1956)
Hüllensysteme und Erweiterung von Quasi‐OrdnungenMathematical Logic Quarterly, 2
(1983)
Adjunctions and standard constructions for partially ordered sets
Xia Zhang, Jan Paseka, Jianjun Feng, Yudong Chen (2022)
Reflectors to quantalesFuzzy Sets Syst., 455
S. Bloom (1976)
Varieties of Ordered AlgebrasJ. Comput. Syst. Sci., 13
V. Krishnan (1950)
Les algèbres partiellement ordonnées et leurs extensions. IIBulletin de la Société Mathématique de France, 79
We consider ordered universal algebras and give a construction of a join-completion for them using so-called D\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathscr {D}$$\end{document}-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.
Algebra Universalis – Springer Journals
Published: May 1, 2023
Keywords: Ordered algebra; Sup-algebra; Nucleus; Join-completion; Reflector; Linear function; Admissible subset; 06B23; 06F99; 08C05
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