Title of article :
On the commuting graph of non-commutative rings of order pnq
Author/Authors :
Vatandoost, E. Faculty of Basic Science - Imam Khomeini International University, Qazvin , Ramezani, F. Faculty of Basic Science - Imam Khomeini International University, Qazvin , Bahraini, A. Department of Mathematics - Islamic Azad University, Central Tehran Branch
Abstract :
Let R be a non-commutative ring with unity. The commuting graph of R denoted
by (R), is a graph with vertex set RnZ(R) and two vertices a and b are adjacent i ab = ba.
In this paper, we consider the commuting graph of non-commutative rings of order pq and p2q
with Z(R) = 0 and non-commutative rings with unity of order p3q. It is proved that CR(a)
Keywords :
Commuting graph , non-commutative ring , non-connected graph , algebraic graph
Journal title :
Astroparticle Physics
