Polynomial functions on rings of dual numbers over residue class rings of the integers

DOI10.1515/ms-2021-0039zbMath1484.11213arXiv1910.00238OpenAlexW3118947465MaRDI QIDQ2054757

Sophie Frisch, Amr Ali Al-Maktry, Hassan Al-Ezeh

Publication date: 3 December 2021

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00238

zbMATH Keywords

polynomialspolynomial functionspermutation polynomialsfinite ringsfinite commutative ringspolynomial mappingsdual numberspolynomial permutationsnull polynomials

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over finite fields (11T06) Polynomials over commutative rings (13B25) Lattice ideals, congruence relations (06B10) Special polynomials in general fields (12E10) Polynomials and finite commutative rings (13M10)

Related Items (2)

On a property of the ideals of the polynomial ring $R[x$] ⋮ Polynomial functions over dual numbers of several variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Gray images of \((1+u)\) constacyclic codes over \(\mathbb F_{2^m}[u/\langle u^k\rangle\)]
• Polynomial functions and permutation polynomials over some finite commutative rings
• Sylow \(p\)-groups of polynomial permutations on the integers mod \(p^n\).
• On permutation polynomials in two variables over \(\mathbb Z /{p^2}\mathbb Z\)
• On strong orthogonal systems and weak permutation polynomials over finite commutative rings
• Polynomial transformations of finite commutative local principal ideal rings
• Polynomfunktionen auf primen Restklassen
• Functions and polynomials over Galois rings
• On polynomial functions from \(\mathbb{Z}_{n_ 1}\times \mathbb{Z}_{n_ 2}\times \cdots \times \mathbb{Z}_{n_ r}\) to \(\mathbb{Z}_ m\)
• Polynomial functions over finite commutative rings
• Permutation polynomials over finite rings
• On polynomial functions (mod m)
• When are weak permutation polynomials strong?
• A faster algorithm for testing polynomial representability of functions over finite integer rings
• Zur Theorie der Polynomtransformationen und Permutationspolynome
• Counting polynomial functions \(\pmod{p^ n}\)
• Gruppen von Restpolynomidealrestklassen nach Primzahlpotenzen
• Some Constacyclic Codes over ℤ4[u/〈u2〉,, New Gray Maps, and New Quaternary Codes]
• On the group of unit-valued polynomial functions

This page was built for publication: Polynomial functions on rings of dual numbers over residue class rings of the integers