Assertion: algebra's operation | /r/HasProperty | associative
Facets:
value: like multiplication
type: OTHER
value: like addition
type: OTHER
value: , z
type: OTHER
Source sentences:
text: The operation is associative: if a, b and c are members of S, then (a ∗ b) ∗ c is identical to a ∗ (b ∗ c).
text: Such an operation is said to be associative when it satisfies \(f(f(x, y), z)
text: Like addition and multiplication, the operations of union and intersection are commutative and associative, and intersection distributes over union.
text: A ring is an abelian group with a second binary operation that is associative, is distributive over the abelian group operation, and has an identity element (this last property is not required by some authors, see § Notes on the definition).