Algebras, Graphs and Ordered Sets – ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet

• Type of Material: Article
• Authors: Dwight Duffus, Emory University; Miguel Couceiro, Université de Lorraine
• Language: English
• Date: 2023-05-17
• Publisher: Springer Nature
• Publication Version: Final Published Version
• Copyright Statement: © 2023, The Author(s), under exclusive licence to Springer Nature B.V.
• Final Published Version (URL): http://dx.doi.org/10.1007/s11083-023-09634-w
• Title of Journal or Parent Work: Order
• Start Page: 1
• End Page: 14
• Research Categories: Mathematics

Abstract

The theory of ordered sets has its origins in logic, set theory, and algebra, particularly the study of lattices. The main questions studied and methods used in investigations of orders draw from these areas and have a clear combinatorial aspect. The theory is closely linked to graph theory, universal algebra and multiple-valued logic. It has applications to both classical topics ranging from set theory to formal calculus and to applied areas such as decision science, social networks, e-learning systems, security, and biomedical sciences.