Number commutative binary operations
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This article defines a property of binary operations and hence, of magmas. Then, is said to be commutative if, for every in , the following identity holds:.
If the above equation holds for particular values of and , we say that and commute. A magma where the binary operation is commutative is termed a commutative magma.
Binary operation - Wikipedia
For a semigroup, monoid or group, we use the word Abelian as an alternative to commutative thus, a group where the binary operation is commutative is termed an Abelian group. The set of central elements of a magma is termed the commutative center. This article defines a property of binary operations and hence, of magmas Contents.
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