A GENERALIZATION OF THE EISENSTEIN-DUMAS-SCHONEMANN IRREDUCIBILITY CRITERION

被引：7

作者：

Jhorar, Bablesh ^{[1
]}

Khanduja, Sudesh K. ^{[2
]}

机构：

[1] Panjab Univ, Dept Math, Chandigarh 160014, India

[2] Indian Inst Sci Educ & Res Mohali, Sect 81, Sas Nagar 140306, Punjab, India

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2017年 / 60卷 / 04期

关键词：

Eisenstein criterion; irreducibility; valued fields; POLYNOMIALS;

D O I：

10.1017/S0013091516000638

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2013, Weintraub gave a generalization of the classical Eisenstein irreducibility criterion in an attempt to correct a false claim made by Eisenstein. Using a different approach, we prove Weintraub's result with a weaker hypothesis in a more general setup that leads to an extension of the generalized Schonemann irreducibility criterion for polynomials with coefficients in arbitrary valued fields.

引用

页码：937 / 945

页数：9

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