Crystal_(mathematics) Crystal_(mathematics)

Crystal (mathematics) - Definition and Overview

Related Words: Algorism, Algorithm, Analysis, Arithmetic, Calculus, Figures, Geodesy, Geometry

Crystal in homological algebra is a diagram with points and arrows. The representation of a crystal is then an assignment to each point a space and to each arrow a morphism satisfying certain conditions.

The term crystal is also used in the theory in algebraic geometry of a certain type of algebraic differential equation (with divided power structure) that is used to define crystalline cohomology).

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