In mathematics, a function or transformation that maps a mathematical structure to itself while preserving its essential properties.
From 'endo-' (within) and 'morphism' (a structure-preserving map). This mathematical term emerged in 20th-century abstract algebra to describe self-referential transformations in groups, rings, and other algebraic structures.
Endomorphisms are like mathematical mirrors that reflect a structure back onto itself—they're fundamental to understanding symmetries in physics, coding theory, and cryptography, making them far more than abstract curiosities.
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