Characterizations of Outer Generalized Inverses
Characterizations of Outer Generalized Inverses
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DOI：
10.4153/cmb-2016-080-5
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发表时间：
2017-12
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影响因子：
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通讯作者：
Long Wang;N. Castro-González;Jianlong Chen
中科院分区：
文献类型：
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作者：
Long Wang;N. Castro-González;Jianlong Chen
设$R$是环，$b，c在R$中。本文利用直和分解、零化子和可逆元给出了$(b，c)$-逆的一些刻画。此外，刻划了与其$(b，c)$-逆相关的具有相等$(b，c)$-幂等元的元素，并考虑了$(b，c)$-逆的逆序规则。
Abstract Let $R$ be a ring and $b,c\in R$ . In this paper, we give some characterizations of the $(b,c)$ -inverse in terms of the direct sum decomposition, the annihilator, and the invertible elements. Moreover, elements with equal $(b,c)$ -idempotents related to their $(b,c)$ -inverses are characterized, and the reverse order rule for the $(b,c)$ -inverse is considered.