An algebraic magma is a set equipped with a binary operation. No associative property, commutativity, or identity element is required. A semigroup adds the associative property; a monoid also adds an identity element.
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In the field of algebra, a **magma** is a very basic algebraic structure. It is defined as a set \( M \) equipped with a binary operation \( * \) that combines two elements of the set to produce another element in the set. Formally, a magma is defined as follows: - A **magma** is a pair \( (M, *) \) where: - \( M \) is a non-empty set.