Consider S = {2". 3m |n, m e Z} under the usual addition and the usual multiplication. What field axioms do not hold in S? Choose all that apply. existence of additive inverse. existence of additive...

Extracted text: Consider S = {2". 3m |n, m e Z} under the usual addition and the usual multiplication. What field axioms do not hold in S? Choose all that apply. existence of additive inverse. existence of additive identity. O existence of multiplicative inverse. existence of multiplicative identity. commutativity of multiplication.