Polynomial transformations of finite commutative local principal ideal rings

DOI10.1007/BF01145430zbMath0448.13020OpenAlexW2092092017MaRDI QIDQ1146729

Alexander A. Nechaev

Publication date: 1980

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01145430

zbMATH Keywords

quotient ringpolynomial transformationsDickson topologyfinite local principal ideal ring

Mathematics Subject Classification ID

Related Items (10)

Polynomials inducing the zero function on chain rings ⋮ On the structure of digraphs of polynomial transformations over finite commutative rings with unity ⋮ Polynomial functions over dual numbers of several variables ⋮ Построение подстановок с использованием вариационно-координатно полиномиальных функций над примарным кольцом вычетов ⋮ О строении графа полиномиального преобразования кольца Галуа ⋮ Finite Rings with Applications ⋮ Цикловая структура полиномиального генератора над кольцом Галуа ⋮ Класс функций с вариационно-координатной полиномиальностью над кольцом $\mathbb Z_{2^m}$ и его обобщение ⋮ Polynomial functions on rings of dual numbers over residue class rings of the integers ⋮ Unnamed Item

Cites Work

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• Funktionen auf kommutativen Ringen
• On polynomial functions (mod m)
• Zur Theorie der Polynomtransformationen und Permutationspolynome
• Counting polynomial functions \(\pmod{p^ n}\)
• Sums of Distinct Divisors and Sums of Distinct Units
• Invariantive Theory of Equations in a Finite Field

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