In: Tatra Mountains Mathematical Publications, vol. 83, no. 1
Lhoussain El Fadil
Detaily:
Rok, strany: 2023, 51 - 60
Jazyk: eng
Kľúčové slová:
irreducibility criterion, irreducible factors, valued field,
Henselian fields
Typ článku: Mathematics
Typ dokumentu: Scientific paper, pdf
O článku:
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.
Ako citovať:
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
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 20. 2. 2023
Verejná licencia:
The Creative Commons Attribution-NC-ND 4.0 International Public License