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A **semiring** is an algebraic structure that is a generalization of both a ring and a monoid. It consists of a set equipped with two binary operations that generalize addition and multiplication. A semiring is defined by the following properties: 1. **Set**: Let \( S \) be a non-empty set.

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  1. Algebraic structures
  2. Abstract algebra
  3. Algebra
  4. Fields of mathematics
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