  For a radical extension K of odd prime degree the ring O_K of integers is
constructed as a product of subrings with the following property: for all prime
divisors q of the discriminant of O_K there is a q-maximal factor. The
discriminant of O_K is the greatest common divisor of the discriminants of all
factors. The results are applied to give a criterion for the monogeneity of K
where the opposite is not true.
