A Note on Extended Genus Fields of Kummer Extensions of Global Rational Function Fields
We consider the generalization of the extended genus field of a prime degree cyclic Kummer extension of a global rational function field obtained by R. Clement in 1992 to general Kummer extensions. We observe that the same approach of Clement works in general.
Authors
- Martha Rzedowski–Calderón (ORCID: https://orcid.org/0000-0003-1899-6603)
- Gabriel Villa–Salvador (ORCID: https://orcid.org/0000-0002-4356-6448)
Institutions
- Centro de Investigación en Materiales Avanzados (MX)
Publication Details
- Journal
- Axioms
- Published
- 2024-10-24
- DOI
- https://doi.org/10.3390/axioms13110734
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00