Definition:Product Notation (Algebra)

Definition
Let $\left({S, \times}\right)$ be an algebraic structure where the operation $\times$ is an operation derived from, or arising from, the multiplication operation on the natural numbers.

Let $\left({a_1, a_2, \ldots, a_n}\right) \in S^n$ be an ordered $n$-tuple in $S$.

Also see

 * Definition:Summation
 * Definition:Cartesian Product
 * Definition:Composite (Abstract Algebra)