Category:Products

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This category contains results about Products in the context of Algebra.
Definitions specific to this category can be found in Definitions/Products.


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

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


Definition by Index

The composite is called the product of $\tuple {a_1, a_2, \ldots, a_n}$, and is written:

$\displaystyle \prod_{j \mathop = 1}^n a_j = \paren {a_1 \times a_2 \times \cdots \times a_n}$