The Square Mapping Graphs of Finite Commutative Rings

DOI10.1142/S1005386712000442zbMath1260.13032MaRDI QIDQ2909089

Gaohua Tang, Huadong Su, Yangjiang Wei

Publication date: 29 August 2012

Published in: Algebra Colloquium (Search for Journal in Brave)

zbMATH Keywords

fixed pointcomponents of a graphsquare mapping graph

Mathematics Subject Classification ID

Directed graphs (digraphs), tournaments (05C20) Structure of finite commutative rings (13M05)

Related Items

Structures of power digraphs over the congruence equation \(x^p\equiv y\; (\text{mod}\; m)\) and enumerations ⋮ The fundamental constituents of iteration digraphs of finite commutative rings ⋮ Exponent of local ring extensions of Galois rings and digraphs of the $k$th power mapping ⋮ THE ITERATION DIGRAPHS OF GROUP RINGS OVER FINITE FIELDS

Cites Work

• Unnamed Item
• Combinatorial cycles of a polynomial map over a commutative field
• Rings of order \(p^5\). I: Nonlocal rings
• The graph of the square mapping on the prime fields
• Rings with few zero divisors
• On a Connection of Number Theory with Graph Theory
• Groups, Graphs, and Fermat's Last Theorem