Integers for Simple Radical Extensions
The ring of integers and the discriminant are determined for number fields which are simple radical extensions.
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arXiv subjects
Julius Kraemer
Publications and source records attributed to Julius Kraemer.
Integers for Radical Extensions of Odd Prime Degree as Product of Subrings
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.
math.NT↗