Let Z* denote the ring of integers with new addition andmultiplication operations defined by a (+) b = a + b - 1 and a (*)b = a + b - ab. Prove Z (the integers) are isomorphic to Z*. Cansomeone please explain this to me? I get that f(1) = 0, f(2) = -1but then f(-1) = -f(1) = 0 and f(2) = -f(2) = 1 but this does notmake sense in order to define a function. Can someone explain whythis is not right and show what it is correct?
