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EP Elements in Rings with Involution

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EP Elements in Rings with Involution

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Xu, S.; Chen, J.; Benítez López, J. (2019). EP Elements in Rings with Involution. Bulletin of the Malaysian Mathematical Sciences Society. 42(6):3409-3426. https://doi.org/10.1007/s40840-019-00731-x

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Título: EP Elements in Rings with Involution
Autor: Xu, Sanzhang Chen, Jianlong Benítez López, Julio
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] Let R be a unital ring with involution. We first show that the EP elements in R can be characterized by three equations. Namely, let a. R, then a is EP if and only if there exists x. R such that (xa)* = xa, xa(2) = a ...[+]
Palabras clave: Core inverse , EP , Bi-EP , N-EP
Derechos de uso: Reserva de todos los derechos
Fuente:
Bulletin of the Malaysian Mathematical Sciences Society. (issn: 0126-6705 )
DOI: 10.1007/s40840-019-00731-x
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s40840-019-00731-x
Código del Proyecto:
info:eu-repo/grantAgreement/NSFC//11771076/
Agradecimientos:
This research is supported by the National Natural Science Foundation of China (No. 11771076). The first author is grateful to China Scholarship Council for giving him a purse for his further study in Universitat Politecnica ...[+]
Tipo: Artículo

References

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Baksalary, O.M., Trenkler, G.: Core inverse of matrices. Linear Multilinear Algebra 58(6), 681–697 (2010)

Benítez, J.: Moore–Penrose inverses and commuting elements of $C^{*}$-algebras. J. Math. Anal. Appl. 345(2), 766–770 (2008)

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