Geodesic
The group inverse and Moore-Penrose inverse of the product of two elements and generalized inverse in a ring with involution
Filomat, Tome 37 (2023) no. 15, p. 5017

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DOI

In this paper, using the expression form of the group inverse and Moore-Penrose inverse for the product of two elements, we present some new characterizations of EP elements, partial isometries, SEP elements, normal elements and Hermitian elements in a ring with involution.
DOI : 10.2298/FIL2315017L
Classification : 16B99, 16W10, 46L05
Keywords: EP element, Partial isometry, SEP element, Normal element, Hermitian element, Group inverse, Moore-Penrose inverse 
Anqi Li; Junchao Wei. The group inverse and Moore-Penrose inverse of the product of two elements and generalized inverse in a ring with involution. Filomat, Tome 37 (2023) no. 15, p. 5017 . doi: 10.2298/FIL2315017L
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     author = {Anqi Li and Junchao Wei},
     title = {The group inverse and {Moore-Penrose} inverse of the product of two elements and generalized inverse in a ring with involution},
     journal = {Filomat},
     pages = {5017 },
     year = {2023},
     volume = {37},
     number = {15},
     doi = {10.2298/FIL2315017L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2315017L/}
}
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