Digraphs associated with the kth power map on the quotient ring of polynomials over finite fields

DOI10.1142/S0219498819502189zbMath1423.13143OpenAlexW2902903749MaRDI QIDQ5235394

Amplify Sawkmie, Madan Mohan Singh

Publication date: 10 October 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819502189

zbMATH Keywords

direct product of digraphspower digraphsuniqueness of factorizationpolynomial over finite fields

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Polynomials, factorization in commutative rings (13P05) Directed graphs (digraphs), tournaments (05C20) Divisibility and factorizations in commutative rings (13A05) Structure of finite commutative rings (13M05)

Cites Work

• Unnamed Item
• On the symmetric digraphs from powers modulo \(n\)
• The digraph of the \(k\)th power mapping of the quotient ring of polynomials over finite fields
• On symmetric digraphs of the congruence \(x^k \equiv y \pmod n\)
• The fundamental constituents of iteration digraphs of finite commutative rings
• On the symmetric digraphs from the kth power mapping on finite commutative rings

This page was built for publication: Digraphs associated with the kth power map on the quotient ring of polynomials over finite fields