Characterizations of m-EP elements in rings |
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| Authors: | Honglin Zou Pedro Patrício |
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| Affiliation: | 1. School of Mathematics and Statistics, Hubei Normal University, Huangshi, China.;2. CMAT-Centro de Matemática and Departamento de Matemática e Aplica??es, Universidade do Minho, Braga, Portugal. |
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| Abstract: | Let R be a ring with involution. In this paper, we extend the notions of m-EP matrices and m-EP operators to an arbitrary ring case. A number of new characterizations of m-EP elements in rings are presented. In particular, the existence criteria for 1-EP (i.e. EP) elements are obtained by means of the group inverse, Moore–Penrose inverse, and core inverse. Some properties of 2-EP are also given. |
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| Keywords: | m-EP Drazin inverse Moore–Penrose inverse core inverse ring |
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