A Generalization of Eisenstein-Schönemann’s Irreducibility Criterion

El Fadil, Lhoussain

doi:10.2478/tmmp-2023-0005

Abstract

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.

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A Generalization of Eisenstein-Schönemann’s Irreducibility Criterion

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