Linked from

The 15 pages that link to Binary operation, each with the reason it gives.

• GroupNarrower topic: A group’s operation must combine any two group elements and remain within the set.

• Group homomorphismNarrower topic: The operation is the structure a group homomorphism must preserve.

• SubgroupNarrower topic: Closure requires the group's operation to keep pairs of subgroup elements inside the subset.

• Abstract algebraBroader topic: An operation supplies the basic behavior that structure axioms constrain.

• Identity elementNarrower topic: An identity element is defined relative to a particular binary operation.

• Abelian groupNarrower topic: The operation is the rule whose order-independence defines Abelian groups.

• AssociativityNarrower topic: Associativity is a condition imposed on binary operations.

• MonoidNarrower topic: It is the operation whose associativity and identity determine a monoid.

• SemigroupRelated: A semigroup’s operation must combine every pair of its elements.

• Associative propertyNarrower topic: Associativity asks whether regrouping inputs to a binary operation preserves its output.

• Inverse elementNarrower topic: An inverse is defined relative to a particular binary operation.

• Algebraic structureRelated: Many familiar structures begin with one or more operations of this kind.

• Mathematical structureRelated: Operations add algebraic behavior to a set.

• Commutative propertyNarrower topic: Commutativity is a condition on the output of a binary operation when its inputs are swapped.

• MagmaRelated: The operation combines two magma elements and must return another element of the set.