Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/50137
Título: | Centralizer's applications to the inverse along an element |
Autor(es): | Huihui Zhu Jianlong Chen Patrício, Pedro Mary, Xavier |
Palavras-chave: | Absorption laws Centralizers Inverses along an element Left (Right) inverses along an element Moore–Penrose inverses Reverse order laws |
Data: | 15-Dez-2017 |
Editora: | Elsevier 1 |
Revista: | Applied Mathematics and Computation |
Resumo(s): | In this paper, we firstly prove that the absorption law for one-sided inverses along an element holds, and derive the absorption law for the inverse along an element. We then obtain the absorption law for the inverse along different elements. Also, we prove that a left inverse of a along d coincides with a right inverse of a along d, provided that they both exist. Then, the reverse order law and the existence criterion for the inverse along an element are given by centralizers in a ring. Finally, we characterize the Moore–Penrose inverse of a regular element by one-sided invertibilities in a ring with involution. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/50137 |
DOI: | 10.1016/j.amc.2017.07.046 |
ISSN: | 0096-3003 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Centralizer’s applications to the inverse along an element.pdf | 115,91 kB | Adobe PDF | Ver/Abrir |