<abstract xmlns="http://www.w3.org/1999/xhtml">

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

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.

Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields"}

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...

Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields

Publié en ligne: 07 mars 2023

Pages: 1 - 10

Reçu: 08 nov. 2022

DOI: https://doi.org/10.2478/tmmp-2023-0001

Mots clés
polynomial, polynomial decomposition, resultant

© 2023 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields

Publié en ligne: 07 mars 2023

Pages: 1 - 10

Reçu: 08 nov. 2022

DOI: https://doi.org/10.2478/tmmp-2023-0001

Mots cléspolynomial, polynomial decomposition, resultant

© 2023 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
polynomial, polynomial decomposition, resultant