In: Tatra Mountains Mathematical Publications, vol. 83, no. 1
Lhoussain El Fadil
Details:
Year, pages: 2023, 51 - 60
Language: eng
Keywords:
irreducibility criterion, irreducible factors, valued field,
Henselian fields
Article type: Mathematics
Document type: Scientific paper, pdf
About article:
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.
How to cite:
ISO 690:
El Fadil, L. 2023. A generalization of Eisenstein-Schönemann's irreducibility criterion. In Tatra Mountains Mathematical Publications, vol. 83, no.1, pp. 51-60. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2023-0005
APA:
El Fadil, L. (2023). A generalization of Eisenstein-Schönemann's irreducibility criterion. Tatra Mountains Mathematical Publications, 83(1), 51-60. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2023-0005
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 20. 2. 2023
Rights:
The Creative Commons Attribution-NC-ND 4.0 International Public License