Associate Ring Graphs

Authors

  • M. James Subhakar Noble College, Machilipatnam

DOI:

https://doi.org/10.12723/mjs.16.5

Abstract

R is a commutative ring with unity. The associate ring graph AG(R) is the graph with the vertex set V = R • {0} and edge set E = {(a, b) / a, b are associates and a ≠ b}. Since the relation of being associate is on equivalence relation, this graph is an undirected graph and also each component is complete. In this paper, I present some of the interesting results majority of which are for the ring of integers modulo n, n is a positive integer.

Published

2010-05-31