The Moore–Penrose inverse of 2 × 2 matrices over a certain ∗-regular ring
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摘要
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.
论文关键词:Moore–Penrose inverse,*-Regular ring,Two term star-cancellation
论文评审过程:Available online 2 September 2014.
论文官网地址:https://doi.org/10.1016/j.amc.2014.08.026