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  3. let z* denote the ring of integers with new additi

Let Z* denote the ring of integers with new addition and multiplication operations defined by a...

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Advance Math

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?

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3.8 Ratings (615 Votes)
hheref1f1 representsthe additive inverse    See Answer
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