The perturbation of the group inverse under the stable perturbation in a unital ring

Fapeng Du, Yifeng Xue

Let $\mathbb{R}$ be a ring with unit 1 and $a\in \mathbb{R},\bar{a}=a+\delta a\in \mathbb{R}$ such that $a^#$ exists. In this paper, we mainly investigate the perturbation of the group inverse $a^#$ on $\mathbb{R}$.…