The inverse along a product and its applications |
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| Authors: | Huihui Zhu Pedro Patrício Yulin Zhang |
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| Affiliation: | 1. Department of Mathematics, Southeast University, Nanjing, China.;2. CMAT-Centro de Matemática and Departamento de Matemática e Aplica??es, Universidade do Minho, Braga, Portugal. |
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| Abstract: | In this paper, we study the recently defined notion of the inverse along an element. An existence criterion for the inverse along a product is given in a ring. As applications, we present the equivalent conditions for the existence and expressions of the inverse along a matrix. |
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| Keywords: | von Neumann regularity inverse along an element Green’s relations matrices over a ring |
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