# Category:Examples of Associative Operations

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This category contains examples of Associative Operation.

Let $S$ be a set.

Let $\circ : S \times S \to S$ be a binary operation.

Then $\circ$ is **associative** if and only if:

- $\forall x, y, z \in S: \paren {x \circ y} \circ z = x \circ \paren {y \circ z}$

## Subcategories

This category has the following 14 subcategories, out of 14 total.

## Pages in category "Examples of Associative Operations"

The following 40 pages are in this category, out of 40 total.

### A

- Addition of Cuts is Associative
- Associative Law of Addition
- Associative Law of Multiplication
- Associative Operation/Examples
- Associative Operation/Examples/Associative/x circ a circ y
- Associative Operation/Examples/Non-Associative/Arbitrary Order 3 Structure
- Associative Operation/Examples/Non-Associative/xy+1
- Associativity of Hadamard Product