An **automorphism** is a special type of isomorphism in the context of mathematical structures. More specifically, it is a bijective (one-to-one and onto) mapping from a mathematical object to itself that preserves the structure of that object. ### Key Points: 1. **Mathematical Structures**: Automorphisms can exist in various mathematical contexts, such as groups, rings, vector spaces, graphs, and more.
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An automorphism is an isomorphism from an object to itself.