Moore-Penrose invertibility in involutory rings: the case aa+=bb+
In this article, we consider Moore-Penrose invertibility in rings with a general involution. Given two von Neumann regular elements a, b in a general ring with an arbitrary involution, we aim to give necessary and sufficient conditions to aa† = bb†. As a special case, EP elements are considered.
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2010
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| Texto completo: | http://hdl.handle.net/1822/11265 |
| País: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/11265 |
| Resumo: | In this article, we consider Moore-Penrose invertibility in rings with a general involution. Given two von Neumann regular elements a, b in a general ring with an arbitrary involution, we aim to give necessary and sufficient conditions to aa† = bb†. As a special case, EP elements are considered. |
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