In category theory, a **strict initial object** is an object \( I \) in a category \( \mathcal{C} \) such that for every object \( A \) in \( \mathcal{C} \), there exists a unique morphism (also called an arrow) from \( I \) to \( A \).

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  1. Objects (category theory)
  2. Category theory
  3. Fields of abstract algebra
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