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