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Existence criteria and expressions of the (b,c)-inverse in rings and its applications | | Sanzhang Xu
; Julio Benitez
; | | Date: |
23 Jun 2017 | | Abstract: | Existence criteria for the $(b,c)$-inverse are given.% in terms of
annihilators. We present explicit expressions for the $(b,c)$-inverse by using
inner inverses. We answer the question when the $(b,c)$-inverse of $ain R$ is
an inner inverse of $a$. As applications, we give a unified theory of some
well-known results of the ${1,3}$-inverse, the ${1,4}$-inverse, the
Moore-Penrose inverse, the group inverse and the core inverse. | | Source: | arXiv, 1706.7775 | | Services: | Forum | Review | PDF | Favorites | |
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