Weak group inverses and partial isometries in proper *-rings
[EN] A weak group element is introduced in a proper ¿-ring. Several equivalent conditions of weak group elements are investigated. We prove that an element is pseudo core invertible if it is both partial isometry and weak group invertible. Reverse order law and additive property of the weak group in...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/192618 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/192618 |
| Access Level: | acceso abierto |
| Palabra clave: | Weak group inverse Weak group element Pseudo core inverse Partial isometry MATEMATICA APLICADA |
| Sumario: | [EN] A weak group element is introduced in a proper ¿-ring. Several equivalent conditions of weak group elements are investigated. We prove that an element is pseudo core invertible if it is both partial isometry and weak group invertible. Reverse order law and additive property of the weak group inverse are presented. Finally, under certain assumption on a, equivalent conditions of aW a¿ = a¿aW are presented by using the normality of the group invertible part of an element in its group-EP decomposition |
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