Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597661 | Journal of Pure and Applied Algebra | 2010 | 7 Pages |
Abstract
Let K/FK/F be a Kummer cyclic extension of number fields. In the case when the degree is a prime number, Gómez Ayala gave an explicit criterion for the existence of a normal integral basis. More recently Ichimura proposed a generalization of that result for cyclic extensions of arbitrary degree, but we have found that Ichimura’s result is incorrect. In this paper we present a counter-example to Ichimura’s result as well as the correct generalization of Gómez Ayala’s result.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ilaria Del Corso, Lorenzo Paolo Rossi,