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This is an AoPSWiki Word of the Week for March 12-19

An isomorphism is a bijective homomorphism. If $A$ and $B$ are objects in a certain category such that there exists an isomorphism $A\to B$, then $A$ and $B$ are said to be isomorphic. Informally speaking, two isomorphic objects can be considered as two superficially different versions of the same object. Isomorphic objects cannot be distinguished by Universal Mapping Properties.

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