Exponent of local ring extensions of Galois rings and digraphs of the $k$th power mapping

DOI10.3906/mat-1601-134zbMath1424.11161OpenAlexW2604288657MaRDI QIDQ4633258

Ittiwat Tocharoenirattisai, Yotsanan Meemark

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1601-134

zbMATH Keywords

Galois ringsfinite chain ringssymmetric digraphs

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58)

Cites Work

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• The digraph of the \(k\)th power mapping of the quotient ring of polynomials over finite fields
• The quadratic digraph on polynomial rings over finite fields
• On symmetric digraphs of the congruence \(x^k \equiv y \pmod n\)
• On the groups of units of finite commutative chain rings.
• Units on the Gauss extension of a Galois ring
• The Square Mapping Graphs of Finite Commutative Rings
• THE DIGRAPH OF THE SQUARE MAPPING ON QUOTIENT RINGS OVER THE GAUSSIAN INTEGERS
• On a Connection of Number Theory with Graph Theory
• On the symmetric digraphs from the kth power mapping on finite commutative rings
• THE ITERATION DIGRAPHS OF GROUP RINGS OVER FINITE FIELDS
• The iteration digraphs of finite commutative rings

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