A Generalization of Eisenstein-Schönemann’s Irreducibility Criterion

Lhoussain El Fadil

doi:10.2478/tmmp-2023-0005

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A Generalization of Eisenstein-Schönemann’s Irreducibility Criterion

Tatra Mountains Mathematical Publications

Volume 83 (2023): Issue 1 (February 2023)

By: Lhoussain El Fadil

Open Access

|Mar 2023

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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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2023-0005 | Journal eISSN: 1338-9750 (formerly 1210-3195) | Journal ISSN: 1210-3195

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Language: English

Page range: 51 - 60

Submitted on: Nov 12, 2022

Published on: Mar 7, 2023

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

irreducibility criterion,

Related subjects:

© 2023 Lhoussain El Fadil, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 83 (2023): Issue 1 (February 2023)