In this paper, we study representations of the Moore-Penrose inverse of a 2 × 2 matrix M over a * -regular ring with two term star-cancellation. As applications, some necessary and sufficient conditions for the Moore-Penrose inverse of M to have different types are given.
['Huihui Zhu', 'Jianlong Chen', 'Xiaoxiang Zhang', 'Pedro Patrício']
The Moore-Penrose inverse of 2×2 matrices over a certain *-regular ring