32) Which of the following statements are true?
I. The set of all odd integers is a monoid under multiplication.
II. The set of all complex number is a group under multiplication
III. The set of all integers under the operation * given by a * b = a+b-ab is a monoid
IV. Zs under symmetric difference defined by
AB = (A-B) ∪(B-A) is an abelian group
Answer is:
I, III and IV
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