J. Korean Math. Soc. 2016; 53(3): 519-532
Printed May 1, 2016
https://doi.org/10.4134/JKMS.j140645
Copyright © The Korean Mathematical Society.
Xiaobin Ma, Dengyin Wang, and Jinming Zhou
China University of Mining and Technology, China University of Mining and Technology, Hefei Normal University
The zero-divisor graph of a noncommutative ring $R$, denoted by $\Gamma(R)$, is a graph whose vertices are nonzero zero-divisors of $R$, and there is a directed edge from a vertex $x$ to a distinct vertex $y$ if and only if $xy=0$. Let $R=M_{2}(F_q)$ be the $2\times 2$ matrix ring over a finite field $F_q$. In this article, we investigate the automorphism group of $\Gamma(R)$.
Keywords: automorphism, zero-divisor graph, noncommutative ring, matrix ring
MSC numbers: 05C20, 05C60
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