논문KCI 등재
Automorphisms of the zero-divisor graph over $2\times 2$ matrices
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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 $\Gamma(R)$.
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 $\Gamma(R)$.
참고문헌 (17)
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관련 논문AI추천
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