대한수학회지 (Journal of the Korean Mathematical Society)

  • 제53권3호
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  • Pages.519-532
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  • 2016
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2014.10.20
  • 발행 : 2016.05.01
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초록

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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참고문헌

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피인용 문헌

  1. Automorphism group of the total graph over a matrix ring vol.65, pp.3, 2017, https://doi.org/10.1080/03081087.2016.1197176
  2. Automorphisms of the zero-divisor graph of 2 × 2 matrix ring over ℤps 2016, https://doi.org/10.1142/S0219498817502279
  3. Automorphisms of the zero-divisor graph of the full matrix ring vol.65, pp.5, 2017, https://doi.org/10.1080/03081087.2016.1219302
  4. Automorphism group of rank-decreasing graph of matrices pp.1532-4125, 2019, https://doi.org/10.1080/00927872.2018.1552287