Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields

Published:2023-02-01 Issue:1 Volume:83 Page:1-10
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Benferhat Leila¹,Kihel Omar²,Larone Jesse²,Mohamed Rezki Ould³

Affiliation:

1. 1 National Higher School of Artificial Intelligence , Mahelma , ALGERIA

2. 2 Brock University , St. Catharines , CANADA

3. 3 University of Science and Technology Houari Boumediene , Algiers , ALGERIA

Abstract

Abstract The aim of this paper is to provide integral polynomials irreducible over ℤ which are reducible over 𝔽 p for every prime p. In particular, we show that certain composed products of integral polynomials are reducible modulo p for all primes p.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2023-0001

Reference3 articles.

1. [1] AYAD, M.: On irreducible polynomials over Q which are reducible over 𝔽p for all p, Rocky Mountain J. Math. 40 (2010), no. 5, 1377–1389.

2. [2] BENFERHAT, L.—BENOUMHANI, S. M.—BOUMAHDI, R.— LARONE, J.: Additive decompositions of polynomials over unique factorization domains, J. Algebra Appl, 19 (2020), no. 8, 1–11.

3. [3] BRAWLEY, J. V.—CARLITZ, L.: Irreducibles and the composed product for polynomials over a finite field, Discrete Math. 65 (1987), no. 2, 115–139.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP