In: Advanced Math
Which number set can you find:
a. the inverse of integers under multiplication?
b. the inverse of natural numbers under multiplication?
In (a) , for Z ,we can't have a set containing inverse of all elements of it under multiplication.(as, 0 € Z does not have inverse under multiplication)
So,I've written ,If we take Z* then we can have a set containing inverse of all its elements. i.e. Q (set of rationals)
(b) for N, the set containing it's inverse elements is Q+ .(set of positive rationals)