On the Concept of Algebraic Crystallography

Dominique Bourn ()
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Dominique Bourn: UR 2597, LMPA-Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville, Université Littoral Côte d’Opale, F-62100 Calais, France

Mathematics, 2025, vol. 13, issue 21, 1-17

Abstract: Category Theory provides us with a clear notion of what is an internal algebraic structure. This will allow us to focus our attention on a certain kind of relationship between context and structure ; namely on categories E ( context ) in which, on any object X , there is, at most, one algebraic structure of some type S .

Keywords: internal structures; uniqueness of structures; context; varieties and categories; context vs. structure (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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