Relations and Functions
Matching exercise
Match the items on the right to the items on the left.
commutative
associative
invertible
identity
if a ∗ b = b ∗ a ∀ a, b in X
if (a ∗ b) ∗ c = a ∗ (b ∗ c)∀ a, b, c in X.
b ∈ X such that a ∗ b = e = b ∗ a where, e is the identity for the binary operation ∗
a ∗ e = a = e ∗ a ∀ a ∈ X