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Publicado en línea: 07 mar 2023
Páginas: 51 - 60
Recibido: 12 nov 2022
DOI: https://doi.org/10.2478/tmmp-2023-0005
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© 2023 Mathematical Institute, Slovak Academy of Sciences
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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.