论文标题

Lipschitz Integers ring ring of Modulo $ n $的零除数图

A note on the zero divisor graph of the ring of Lipschitz integers modulo $n$

论文作者

Zhang, Hengbin

论文摘要

在最近的一篇论文中,Grau等人。 (2017)研究了Lipschitz Integers Modulo $ n $的零除数图,并计算了Lipschitz Integers Modulo $ n $的无向零除数图的支配数。但是,$ n $的情况是质数的力量。在此注释中,解决了此问题。我们还显示了Lipschitz Integers Modulo $ 2^s $的零除数图的自动形态组。

In a recent paper, Grau et al. (2017) studied the zero divisor graphs of the ring of Lipschitz integers modulo $n$, and computed the domination number of the undirected zero divisor graph of the ring of Lipschitz integers modulo $n$. But the case $n$ is a power of prime numbers remained open. In this note, this problem is solved. We also show the automorphism group of the zero divisor graph of the ring of Lipschitz integers modulo $2^s$.

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