Open Access

Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields

Leila Benferhat

Leila Benferhat

National Higher School of Artificial IntelligenceMahelma, ALGERIA
Search for this author on
Sciendo|Google Scholar
Benferhat, Leila
, 
Omar Kihel

Omar Kihel

Brock UniversitySt. Catharines, CANADA
Search for this author on
Sciendo|Google Scholar
Kihel, Omar
, 
Jesse Larone

Jesse Larone

Brock UniversitySt. Catharines, CANADA
Search for this author on
Sciendo|Google Scholar
Larone, Jesse
 and 
Rezki Ould Mohamed

Rezki Ould Mohamed

University of Science and Technology Houari BoumedieneAlgiers, ALGERIA
Search for this author on
Sciendo|Google Scholar
Mohamed, Rezki Ould
  
Mar 07, 2023
Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields's Cover Image
About this article
Previous Article
Next Article
Cite
Download Cover
Published Online: Mar 07, 2023
Page range: 1 - 10
Received: Nov 08, 2022
DOI: https://doi.org/10.2478/tmmp-2023-0001
Keywords
© 2023 Mathematical Institute, Slovak Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
Journal RSS Feed