- #1
hsong9
- 80
- 1
Homework Statement
Show that R is not isomorphic to R*.
Homework Equations
The Attempt at a Solution
Let f:R -> R* such that f(x) = e^x for x in R
f(a+b) = e^(a+b), but f(a)f(b) = e^(ab).
Therefore, f(a+b) != f(a)f(b).
not isomorphism.