Group
Identity
1*x = x
x*1 = x
Inverses
x*y = 1
y*x = 1
Associativity
x*(y*z) = (x*y)*z
Closure
x*y ∈ G
Ring
Identity +
Commutativity +
Inverses +
Associativity +
Closure +
Identity ×
Associativity ×
Closure ×
Distributivity