An Irreducibility Test for Polynomials whose Coefficients are Algebraic Integers

Gajendra Singh ()
Additional contact information
Gajendra Singh: Jai Narain Vyas University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 1, 171-177

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

Keywords: Simple extension; algebraic integer; polynomial irreducibility; 11R04; 11R09 (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-020-0392-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:51:y:2020:i:1:d:10.1007_s13226-020-0392-x

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-020-0392-x

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().