An Irreducibility Test for Polynomials whose Coefficients are Algebraic Integers

被引：0

作者：

Singh, Gajendra ^{[1
]}

机构：

[1] Jai Narain Vyas Univ, Jodhpur, Rajasthan, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2020年 / 51卷 / 01期

关键词：

Simple extension; algebraic integer; polynomial irreducibility;

D O I：

10.1007/s13226-020-0392-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a non-zero algebraic integer alpha, let DOUBLE-STRUCK CAPITAL Q(alpha) denote the simple extension of the field of rational numbers DOUBLE-STRUCK CAPITAL Q. DOUBLE-STRUCK CAPITAL Z[alpha] is the smallest subring of DOUBLE-STRUCK CAPITAL Q(alpha) containing both DOUBLE-STRUCK CAPITAL Z and alpha. In this article, we present an account for testing irreducibility of a given polynomial with coefficients in DOUBLE-STRUCK CAPITAL Z[alpha] over the field DOUBLE-STRUCK CAPITAL Q(alpha).

引用

页码：171 / 177

页数：7

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