In the context of category theory, a **category of rings** is a mathematical structure where objects are rings and morphisms (arrows) between these objects are ring homomorphisms. Here is a more detailed explanation of the components involved: 1. **Objects**: In the category of rings, the objects are rings. A ring is a set equipped with two binary operations (addition and multiplication) that satisfy certain properties, such as associativity and distributivity.

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  1. Categories in category theory
  2. Category theory
  3. Fields of abstract algebra
  4. Fields of mathematics
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