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Sign in to saveIn mathematics, an isomorphism is a structure-preserving mapping or morphism between two structures of the same type that can be reversed by an inverse mapping. Two mathematical structures are isomorphic if an isomorphism exists between them, and this is often denoted as . The word is derived .
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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