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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| Format: | article |
| Language: | eng |
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2010
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| Online Access: | http://hdl.handle.net/1822/11265 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/11265 |
| Summary: | 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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