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https://hdl.handle.net/1822/80234
Título: | Characterizations and representations of left and right hybrid (b, c)-inverses in rings |
Autor(es): | Zhu, Huihui Wu, Liyun Peng, Fei Patrício, Pedro |
Palavras-chave: | (b, c)-inverses Hybrid (b, c)-inverses Annihilators Ideals Rings |
Data: | 2021 |
Editora: | Springer Verlag |
Revista: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas |
Citação: | Zhu, H., Wu, L., Peng, F. et al. Characterizations and representations of left and right hybrid (b, c)-inverses in rings. RACSAM 115, 22 (2021). https://doi.org/10.1007/s13398-020-00956-7 |
Resumo(s): | Let R be an associative ring with unity 1 and let a, b ,c is an element of R. In this paper, several characterizations for left and right hybrid (b, c)-inverses of a are derived. Moreover, their formulae are given by regularities of certain elements. Then, we give characterizations of right (b, c)-inverses and right annihilator (b, c)-inverses of the product of three elements. Finally, relations among the right hybrid (b, c)-inverse of paq, the right (qb, c)-inverse of aq and the right annihilator (b, cp)-inverse of aq are given. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/80234 |
DOI: | 10.1007/s13398-020-00956-7 |
ISSN: | 1578-7303 |
e-ISSN: | 1579-1505 |
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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Characterizations and representations of left and right hybrid (b,c)-inverses_II.pdf | 112,72 kB | Adobe PDF | Ver/Abrir |