Polynomial functions in the residue class rings of Dedekind domains

DOI10.1142/S1793042119500854zbMath1461.11164arXiv1704.04965OpenAlexW2795755497MaRDI QIDQ5225073

Min Sha, Xiumei Li

Publication date: 25 July 2019

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04965

zbMATH Keywords

finite fieldpolynomial functionDedekind domainresidue class ring

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (4)

Polynomial analogue of the Smarandache function ⋮ A Proof of Sondow’s Conjecture on the Smarandache Function ⋮ Congruence preserving functions in the residue class rings of polynomials over finite fields ⋮ The ring of polyfunctions over Z/nZ

Cites Work

• Simultaneous orderings in function fields
• Polynomial functions (mod m)
• On polynomial functions from \(\mathbb{Z}_ n\) to \(\mathbb{Z}_ m\)
• On polynomial functions from \(\mathbb{Z}_{n_ 1}\times \mathbb{Z}_{n_ 2}\times \cdots \times \mathbb{Z}_{n_ r}\) to \(\mathbb{Z}_ m\)
• Congruence preservation and polynomial functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_m\)
• On polynomial functions (mod m)
• Congruence preserving functions in the residue class rings of polynomials over finite fields
• Counting polynomial functions \(\pmod{p^ n}\)
• The Factorial Function and Generalizations
• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.
• Functions and polynomials ($mod p^n$)
• Gauss factorials of polynomials over finite fields
• Residually Finite Rings

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