Let R* denote the group of all nonzero real numbers under multi- plication. Let Rt denote the group of positive real numbers under multiplication. Prove that R is the internal direct product of R and the subgroup { 1, -1).
obviously R* is internal direct product of R+ and subgroup {1,-1}....because when positive elements of R+ multiply with -1 then we will get negative real numbers....and when elemen...