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https://hdl.handle.net/1822/1516| Título: | Drazin-Moore-Penrose invertibility in rings |
| Autor(es): | Patrício, Pedro Puystjens, Roland |
| Palavras-chave: | Drazin Moore-Penrose Generalized inverses EP elements Core nilpotent decomposition Fitting decomposition |
| Data: | 2004 |
| Editora: | Elsevier |
| Revista: | Linear Algebra and Its Applications |
| Citação: | "Linear algebra and its applications". ISSN 0024-3795. 389 (2004) 159-173. |
| Relatório da Série N.º: | Linear algebra and its applications |
| Resumo(s): | Characterizations are given for elements in an arbitrary ring with involution, having a group inverse and a Moore-Penrose inverse that are equal and the difference between these elements and EP-elements is explained. The results are also generalized to elements for which a power has a Moore-Penrose inverse and a group inverse that are equal. As an application we consider the ring of square matrices of order $m$ over a projective free ring $R$ with involution such that $R^m$ is a module of finite length, providing a new characterization for range-Hermitian matrices over the complexes. |
| Tipo: | Artigo |
| URI: | https://hdl.handle.net/1822/1516 |
| DOI: | 10.1016/j.laa.2004.04.006 |
| ISSN: | 0024-3795 |
| Arbitragem científica: | yes |
| Acesso: | Acesso aberto |
| Aparece nas coleções: |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| DrazinMPinv.pdf | 179,66 kB | Adobe PDF | Ver/Abrir |
