Answer :
I think it would look like this:
A --> opposite of sum
B --> commutative
C --> associative (I'm not quite sure of this one, but I'd rather pick associative than any other property)
D --> associative
A --> opposite of sum
B --> commutative
C --> associative (I'm not quite sure of this one, but I'd rather pick associative than any other property)
D --> associative