Cline's Formula for the Generalized Drazin Inverse
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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It is well known that for an associative ring $R$, if $ab$ is Drazin invertible then $ba$ is Drazin invertible. In this case, $(ba)^D=b((ab)^D)^2a.$This formula is so-called Cline's formula. In this note, we generalize Cline's formula to the case of the generalized Drazin invertibility.
Classification : 15A09, 16S10
@article{BMMS_2014_37_1_a2,
     author = {Yihua Liao and Jianlong Chen and Jian Cui},
     title = {Cline's {Formula} for the {Generalized} {Drazin} {Inverse}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2014},
     volume = {37},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_1_a2/}
}
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Yihua Liao; Jianlong Chen; Jian Cui. Cline's Formula for the Generalized Drazin Inverse. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2014_37_1_a2/