Normal integral bases for cyclic Kummer extensions

Author:

Del Corso Ilaria,Rossi Lorenzo Paolo

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference11 articles.

1. Swan modules and Hilbert–Speiser number fields;Greither;Journal of Number Theory,1999

2. The module structure of Kummer extensions over Dedekind domains;Fröhlich;Journal für die reine und angewandte Mathematik,1962

3. Bases normales d’entiers dans les extensions de Kummer de degré premier;Gómez Ayala;Journal de Théorie des Nombres de Bordeaux,1994

4. On the ring of integers of a tame Kummer extension over a number field;Ichimura;Journal of Pure and Applied Algebra,2004

5. On normal integral bases;Kawamoto;Tokyo Journal Mathematics,1984

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1. A generalization of Kummer theory to Hopf-Galois extensions;Journal of Algebra;2024-12

2. On the ideal discriminant of some relative pure extensions;Boletim da Sociedade Paranaense de Matemática;2024-05-22

3. Hopf-Galois module structure of tamely ramified radical extensions of prime degree;Journal of Pure and Applied Algebra;2020-05

4. The Story of Algebraic Numbers in the First Half of the 20th Century;Springer Monographs in Mathematics;2018

5. Indices of Kummer extensions of prime degree;Journal of Pure and Applied Algebra;2017-11

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