Further results on several types of generalized inverses |
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| Authors: | Huihui Zhu |
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| Institution: | 1. School of Mathematics, Hefei University of Technology, Hefei, Chinahhzhu@hfut.edu.cn |
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| Abstract: | Let R be an associative ring with unity 1 and let a,b,c∈R. In this paper, several characterizations for hybrid (b,c)-inverses of a are given. Also, the hybrid (b,c)-inverse of a is characterized by the group inverse of ab, under certain hypothesis. In particular, existence criteria for the the inverse along an element are obtained. Finally, we get the double commutant property and the reverse order law of annihilator (b,c)-inverses. |
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| Keywords: | Annihilator (b c)-inverses (b c)-inverses double commutant properties hybrid (b c)-inverses reverse order laws |
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