On the concept of Algebraic Crystallography

Publication date: 3 October 2022

Abstract: Category Theory provides us with a clear notion of what is an internal structure. This will allow us to focus our attention on a certain type of relationship between context and structure.

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Structure theory of algebraic structures (08A05) Congruence modularity, congruence distributivity (08B10) Theories (e.g., algebraic theories), structure, and semantics (18C10) Structured objects in a category (group objects, etc.) (18C40) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)

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