Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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AUTOMORPHISMS OF THE ZERO-DIVISOR GRAPH OVER 2 × 2 MATRICES

  • Ma, Xiaobin (Department of Mathematics China University of Mining and Technology) ;
  • Wang, Dengyin (China University of Mining and Technology) ;
  • Zhou, Jinming (Department of Mathematics China University of Mining and Technology, Department of Mathematics Hefei Normal University)
  • Received : 2014.10.20
  • Published : 2016.05.01
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Abstract

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 ${\Gamma}(R)$.

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