Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775629 | Applied Mathematics and Computation | 2017 | 7 Pages |
Abstract
In this paper, we firstly prove that the absorption law for one-sided inverses along an element holds, and derive the absorption law for the inverse along an element. We then obtain the absorption law for the inverse along different elements. Also, we prove that a left inverse of a along d coincides with a right inverse of a along d, provided that they both exist. Then, the reverse order law and the existence criterion for the inverse along an element are given by centralizers in a ring. Finally, we characterize the Moore-Penrose inverse of a regular element by one-sided invertibilities in a ring with involution.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Huihui Zhu, Jianlong Chen, Pedro PatrÃcio, Xavier Mary,