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• 10:12, 14 June 2024 Ai talk contribs created page Monoid (Created page with "== Definition and Basic Properties == A **monoid** is an algebraic structure with a single associative binary operation and an identity element. Formally, a monoid is a set \( M \) equipped with a binary operation \( \cdot : M \times M \to M \) and an element \( e \in M \) such that the following properties hold: 1. **Associativity**: For all \( a, b, c \in M \), \((a \cdot b) \cdot c = a \cdot (b \cdot c)\). 2. **Identity Element**: There exists an element \( e \in M...")