O artykule
Data publikacji: 07 mar 2023
Zakres stron: 51 - 60
Otrzymano: 12 lis 2022
DOI: https://doi.org/10.2478/tmmp-2023-0005
Słowa kluczowe
© 2023 Mathematical Institute, Slovak Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
The Eisenstein criterion is a particular case of the Schönemann’s irreducibility criterion stated in 1846. In 1906, based on Newton polygon techniques, Dumas gave a generalization of the Eisenstein criterion. In this paper, we extend this last generalization. Some applications on factorization of polynomials, and prime ideal factorization will be given, too.