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Isomorphismus

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Isomorphismus

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bijektiver Homomorphismus

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An isomorphism is a special kind of mathematical relationship between two structures that preserves their essential organization and can be reversed, meaning you can go back and forth between the structures without losing information. When two mathematical structures are isomorphic, it means they have the same underlying form or pattern, even if they might look different on the surface, which helps mathematicians recognize that seemingly different problems or systems are actually equivalent in important ways.

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In der Mathematik ist ein Isomorphismus (von altgriechisch ἴσος (ísos) – „gleich“ und μορφή (morphḗ) – „Form“, „Gestalt“) eine Abbildung zwischen zwei mathematischen Strukturen, durch die Teile einer Struktur auf bedeutungsgleiche Teile einer anderen Struktur umkehrbar eindeutig (bijektiv) abgebildet werden.

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