Assertion: abelian group | /r/HasProperty | set
Facets:
value: with an operation
type: OTHER
Source sentences:
text: An abelian group is a set, A {\displaystyle A} , together with an operation ⋅ {\displaystyle \cdot } that combines any two elements a {\displaystyle a} and b {\displaystyle b} of A {\displaystyle A} to form another element of A , {\displaystyle A,} denoted a ⋅ b {\displaystyle a\cdot b} .
text: To qualify as an abelian group, the set and operation, ( A , ⋅ )
text: An abelian group is a set equipped with a (infix) binary operation (called the addition or group operation), an identity element and a (prefix) unary operation , called the inverse map or negation map, satisfying the following:
text: An abelian group is a set, A, together with an operation "•".