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https://hdl.handle.net/1822/64193
Título: | Generalized inverses and their relations with clean decompositions |
Autor(es): | Huihui Zhu Honglin Zou Patrício, Pedro |
Palavras-chave: | Drazin inverse Group inverse Moore-Penrose inverse Strongly clean decomposition Special clean decomposition |
Data: | 1-Jul-2019 |
Editora: | World Scientific Publishing |
Revista: | Journal of Algebra and Its Applications |
Resumo(s): | An element a in a ring R is called clean if it is the sum of an idempotent e and a unit u. Such a clean decomposition a = e + u is said to be strongly clean if eu = ue and special clean if aR eR = (0). In this paper, we prove that a is Drazin invertible if and only if there exists an idempotent e and a unit u such that an = e + u is both a strongly clean decomposition and a special clean decomposition, for some positive integer n. Also, the existence of the Moore-Penrose and group inverses is related to the existence of certain - clean decompositions. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/64193 |
DOI: | 10.1142/S0219498819501330 |
ISSN: | 0219-4988 |
e-ISSN: | 1793-6829 |
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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Generalized inverses and their relations with clean decompositions.pdf | 234,85 kB | Adobe PDF | Ver/Abrir |