Utilize este identificador para referenciar este registo:
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 1 |
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: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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DrazinMPinv.pdf | 179,66 kB | Adobe PDF | Ver/Abrir |