On the Concept of Algebraic Crystallography

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.

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Publication Details

Journal
Mathematics
Published
2025-10-26
DOI
https://doi.org/10.3390/math13213404
Primary Topic
History and advancements in chemistry
Type
article
Field-Weighted Citation Impact
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article

On the Concept of Algebraic Crystallography

Dominique Bourn
Mathematics
History and advancements in chemistry
article

On the Concept of Algebraic Crystallography

Dominique Bourn
article en

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.

MathematicsVol. 13(21)
Université du littoral côte d'opale (FR)
Openalex Percentile: Top 72%
History and advancements in chemistry
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On the Concept of Algebraic Crystallography — Dominique Bourn · Mathematics (2025) | TGRS Research Map | TGRS