# Category:Distributive Operations

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This category contains results about **Distributive Operations**.

Definitions specific to this category can be found in Definitions/Distributive Operations.

Let $S$ be a set on which is defined *two* binary operations, defined on all the elements of $S \times S$, which we will denote as $\circ$ and $*$.

The operation $\circ$ **is distributive over** $*$, or **distributes over** $*$, if and only if:

- $\circ$ is right distributive over $*$

and:

- $\circ$ is left distributive over $*$.

## Subcategories

This category has the following 5 subcategories, out of 5 total.

### E

### G

### O

### S

## Pages in category "Distributive Operations"

The following 19 pages are in this category, out of 19 total.

### C

### E

### L

### O

- Operation over which Every Commutative Associative Operation is Distributive is either Left or Right Operation
- Operation which is Left Distributive over Every Commutative Associative Operation is Right Operation
- Operation which is Right Distributive over Every Commutative Associative Operation is Left Operation
- Operations with Identities which Distribute over each other are Idempotent