Eisenstein-Schönemann不可约性准则的推广

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2023-02-01 DOI:10.2478/tmmp-2023-0005

L. El Fadil

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引用次数: 1

摘要

摘要艾森斯坦准则是1846年Schönemann不可约性准则的一个特例。1906年，在牛顿多边形技术的基础上，大仲马对艾森斯坦准则进行了推广。在本文中，我们扩展了最后一个推广。给出了多项式因子分解和素数理想因子分解的一些应用。

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A Generalization of Eisenstein-Schönemann’s Irreducibility Criterion

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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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量